Finding relative extrema (first derivative test) | AP Calculus AB | Khan Academy
A1 A2 B1 B2 C1 C2
into
US / 'ɪntə /
•UK / ˈɪntu /
- preposition
- Moving or going inside something
- In the same direction as; in the direction of
- So as to become; taking the state of
other
US / 'ʌðə(r) /
•UK / ˈʌðər /
- adjecitve
- A thing different from that mentioned
- determiner
- (Something) else; not the first (one)
- pronoun
- Being the one and only thing of that category
than
US / ðən /
•UK / ðən /
- conjunction
- Used to compare two things that are not equal
let
US / let /
•UK / lɛt /
- verb
- To allow someone to do something
- Introducing a suggestion to do something together
- To rent a house, etc. to others
the
US / ðə /
•UK / ðə /
- article
- Used to refer to something already mentioned
- Used to show there is only one of something
- determiner
- Used to describe all of a family
less
US / les /
•UK / lɛs /
- adjecitve
- Smaller in amount or degree
- adverb
- To a smaller degree
- noun
- A smaller amount
- preposition
- With the subtraction of
this
US / ðɪs /
•UK / ðɪs /
- adjecitve
- Used to indicate something already been discussed
- Used to indicate something happening around now
- adverb
- An indication by a physical motion or gesture
- A specific amount of
- determiner
- Person, thing, or idea near you
- pronoun
- Person, thing that has already been discussed
order
US / 'ɔ:də(r) /
•UK / ˈɔrdɚ /
- noun
- Religious or social group, as of nuns
- Instructions to others to do what you want
- State in which things are neat and organized
- What you ask to buy, e.g. food in restaurant
- Social or political control of an area
- verb
- To put things in a sequence, e.g. a, b, c
- To give instructions to others to do what you want
- To ask for something you want to buy, e.g. a meal
make
US / meɪk /
•UK / mek /
- noun
- Product made by a particular company; brand
- verb
- To arrange or prepare something e.g. dinner
- To get to (a place) on time
- To gain the status of (teacher, lawyer, etc.)
- To create something by putting things together
- To earn a certain amount of money at a job
- To cause or force a person to do something
- To cause something to happen or be formed
critical
US / ˈkrɪtɪkl /
•UK / ˈkrɪtɪkəl /
- adjecitve
- Making a negative judgment of something
- Being important or serious; vital; dangerous
- Most important part
identify
US / aɪ'dentɪfaɪ /
•UK / aɪˈdɛntəˌfaɪ /
- verb
- To indicate who or what someone or something is
maximum
US / ˈmæksɪməm /
•UK / ˈmæksəməm /
- noun
- Largest or highest number or amount of something
you
US / jʊ /
•UK / ju /
- pronoun
- Person someone is speaking or writing to
- Person or people in general
meet
US / mi:t /
•UK / mit /
- noun
- Sporting competition e.g. swimming
- verb
- To provide something that is necessary
- To come together at a certain time or place
come
US / kʌm /
•UK / kʌm /
- verb
- To arrive at a place
- (Of mail) to be delivered
- To move toward someone; go with someone
- To reach a certain point or state
local
US / ˈləʊkl /
•UK / ˈloʊkl /
- adjecitve
- Relating to a particular area, city, or town
- noun
- Bus or train, that stops at most stations
- People who live in the area being discussed
- The pub you most frequently go to
particular
US / pəˈtɪkjələ(r) /
•UK / pɚˈtɪkjəlɚ, pəˈtɪk- /
- adjecitve
- One specific (one)
- Having firm ideas about what is desirable
- Being special or more than is typical
think
US / θɪŋk /
•UK / θɪŋk /
- verb
- To have an idea about something without certainty
- To have an idea, opinion or belief about something
from
US / frəm /
•UK / frʌm, frɑm,frəm /
- preposition
- Starting at a particular place, time or level
out
US / aʊt /
•UK / aʊt /
- adverb
- No longer stylish (e.g. fashion)
- Away from home, business, or the usual place
- In a direction/movement away from inside or center
- noun
- Act when a batter cannot continue playing
- verb
- To tell people a secret
over
US / 'əʊvə(r) /
•UK / ˈovɚ /
- adverb
- Finished; no longer happening
- Towards the ground/away from a standing position
- noun
- A set of six consecutive balls bowled in cricket
- other
- Finished
- preposition
- Showing the relation when a thing is above another
- On or covering something
- Above or across something
- More than you need
- From one side to the other
- In the direction of; toward
another
US / əˈnʌðə(r) /
•UK / əˈnʌðɚ /
- adjecitve
- One more, but not this
- determiner
- One more added
- pronoun
- One more (thing)
criterion
US / kraɪ'tɪərɪən /
•UK / kraɪˈtɪriən /
- noun
- Standard used to make judgments or decisions
keep
US / ki:p /
•UK / kip /
- noun
- Large, strong tower in the middle of a castle
- Money spent on you so you can live in a place
- verb
- To continue doing something; not to stop
- To stop balls going in a goal in sports
- To not give back or return something
- (Of food) to not spoil or not rot
- To take possession of something to own, e.g. a pet
- To have and continue to hold something
- To do something that you have promised or agreed
- To stay in a certain place or condition
- To maintain the rules
call
US / kɔ:l /
•UK / kɔl /
- noun
- A order or request for action
- The sound an animal makes, often when in danger
- A correct prediction, e.g. a decision in a game
- A short visit to a place or person
- A decision by a referee or umpire in a game
- verb
- To make a request or order for action
- (Animal) to make sounds to warn of danger
- To announce the date of an election
- To make a judgment about something
- To give someone or something a name
- To guess in advance the result or outcome
- To visit a place or person for a short time
- To phone someone
- To speak, announce or shout in a loud voice
cross
US / krɒs /
•UK / krɔs, krɑs /
- adjecitve
- Angry and upset
- From one side of something to the other
- noun
- (Of animals) mixture of breeds in one animal
- Person's name
- verb
- To put one thing over another e.g. arms
- To breed one type of animal or plant with another
- To not to agree with someone; oppose
- To go from one side of something to the other
- To meet at one point
far
US / fɑ:(r) /
•UK / fɑr /
- adjecitve
- A long way away
- Being a long way away
- adverb
- To a large degree or extent
where
US / hwɛə /
•UK / hwɛr, wɛr /
- conjunction
- At or in the place which
- In whatever place
- pronoun
- Word you use to ask the location of something
and
US / ənd /
•UK / ənd, ən,ænd /
- conjunction
- Used to refer to two or more things
- Plus; in addition; on top of that
- Used to introduce an action that follows another
both
US / bəuθ /
•UK / boθ /
- determiner
- Used to refer to two things at the same time
- pronoun
- Used to refer to two things at the same time
change
US / tʃeɪndʒ /
•UK / tʃendʒ /
- noun
- Exchange of one set of clothes for another
- Money in the form of coins instead of paper
- Money returned after giving too much
- Act of making or becoming something else
- verb
- To exchange one set of clothes for another
- To exchange one kind of money for another
- To replace something with another thing
- To make or become something else
- To go from one train, bus, etc. and go to another
approach
US / ə'prəʊtʃ /
•UK / əˈprəʊtʃ /
- noun
- Means of reaching a place, often a road or path
- Request of someone with a specific goal in mind
- Specific way to handle a project, task, problem
- verb
- To get close to reaching something or somewhere
- To request someone to do something specific
take
US / teɪk /
•UK / tek /
- noun
- Filming of a single scene for TV or the movies
- verb
- To accept something that is offered
- To use a method of traveling, e.g. a bus or train
- To use a camera to make (a photo)
- To pick up something and go away with it
- To study a subject in school
- To attempt to pass (an exam)
- To require a certain amount of time, money, space
derivative
US / dɪˈrɪvətɪv /
•UK / dɪˈrɪvətɪv /
- adjecitve
- Not from original ideas; from somewhere else
look
US / lʊk /
•UK / lʊk /
- noun
- Person's beauty or physical attractiveness
- Particular style of dress, clothes, or appearance
- The way someone, something appears to be
- Act of searching for or examining something
- verb
- To appear to be; seem
sub
US / sʌb /
•UK / sʌb /
- prefix
- A prefix meaning 'under' or 'instead of'
pretty
US / 'prɪtɪ /
•UK / ˈprɪti /
- adjecitve
- Being attractive to the eye in a simple way
- adverb
- Very; to a great degree
figure
US / ˈfiɡə /
•UK / ˈfɪɡjɚ /
- noun
- Your body shape
- Numbers in a calculation
- Doll-like thing meant to represent a person
- Picture or diagram giving information in a text
- Person who is very important or famous
- Shape of a person seen indistinctly or in outline
- Amount that is expressed in numbers
- verb
- To appear in a game, play or event
- To calculate how much something will cost
- To understand after thinking; work out
way
US / weɪ /
•UK / we /
- adverb
- Used to emphasize the amount of something
- noun
- Particular aspect of something being thought about
- One of various choices that could be made
- Particular existing condition or state
- (Often long) distance or length of time
- How something is done
- Route to go to a place
- Small street
- Usual behavior, emotions or habits of someone
true
US / tru: /
•UK / tru: /
- adjecitve
- Agreeing with the facts; not false; real or actual
past
US / pɑ:st /
•UK / pæst /
- adjecitve
- No longer current or new
- adverb
- So as to go beyond, or further than something
- noun
- Time that existed before now, e.g. long ago
- preposition
- After a particular time
- At a later point in distance; beyond
somehow
US / ˈsʌmhaʊ /
•UK / ˈsʌmˌhaʊ /
- adverb
- In a way that is not known or certain
exactly
US / ɪgˈzæktli /
•UK / ɪɡˈzæktli /
- adverb
- No more and no less than; precisely
either
US / ˈaɪðə(r) /
•UK / ˈiðɚ, ˈaɪðɚ /
- adjecitve
- One of two (used when there is a choice of two)
- adverb
- (After negative statements) likewise, in addition
- conjunction
- Used as the first of two connected things
- determiner
- Used as the first of two connected things
- pronoun
- The one or the other
here
US / hɪə(r) /
•UK / hɪr /
- adverb
- In this place; at this location, position or time
try
US / traɪ /
•UK / traɪ /
- noun
- Act of putting the ball over the rugby goal line
- verb
- To make an effort, to attempt to do something
- To examine someone or something in a court of law
- To test to see if it is good or you like it
- To make a person go through hardship; test
- To examine something to see if it works
once
US / wʌns /
•UK / wʌns /
- adverb
- One time; one instance
- At a time in the past
- conjunction
- When; as soon as
actually
US / ˈæktʃuəli /
•UK / ˈæktʃuəli /
- adverb
- Used to add new (often different) information
after
US / 'ɑ:ftə(r) /
•UK / ˈæftɚ /
- adverb
- Later than another time, or behind something
- conjunction
- Following something before
- preposition
- When an event happened or time has passed
point
US / pɔɪnt /
•UK / pɔɪnt /
- noun
- An item to be discussed
- Small spot or dot
- Fact or detail
- Feature of something
- The size of the text on a page or screen
- A certain time or stage in a process
- Certain position in time or space
- Idea or fact you try to convince people about
- Measurement of scores in a game, sport
- Sharp end of something, e.g. a pen or pin
- verb
- To face a certain direction, e.g. north
- To indicate something with your finger to others
sure
US / ʃʊə(r) /
•UK / ʃʊr /
- adjecitve
- Having no doubts about something
- Have confidence in your own words or actions
- Firmly established or held; being firm or stable
- Being correct or true
- adverb
- What you say to agree willingly
switch
US / swɪtʃ /
•UK / swɪtʃ /
- noun
- A change or shift from one method to another
- Thing you move to turn electrical items on or off
- Thin flexible piece of wood or stick
- verb
- To exchange or replace something for another thing
can
US / kæn /
•UK / kən,kæn /
- noun
- A metal container for storing food
- other
- Able to; have the skill to; have the time to
- verb
- To have permission to
- To be possible to do
- To preserve food by sealing it in a metal container
minimum
US / ˈmɪnɪməm /
•UK / ˈmɪnəməm /
- noun
- Smallest degree or level that is acceptable
whether
US / ˈweðə(r) /
•UK / ˈhwɛðɚ, ˈwɛð- /
- conjunction
- If something will happen or not
become
US / bɪ'kʌm /
•UK / bɪˈkʌm /
- verb
- To begin to be; grow to be; develop into
- To be suitable for a particular job or role
naught
US / nɔ:t /
•UK / nɔt /
- noun
- Quantity of no importance, nonexistence
min
US / mɪn /
•UK / mɪn /
- noun
- Abbreviation for minute
same
US / seɪm /
•UK / sem /
- adjecitve
- Being equal in quality and amount
- Identical; not different
- Not changing; constant
not
US / nɒt /
•UK / nɑt /
- adverb
- Word indicating the negative
- (Used to form the negative of verbs)
our
US / 'aʊə(r) /
•UK / aʊr /
- determiner
- Belonging to us
whole
US / həul /
•UK / hol /
- adjecitve
- Complete or full; all of
- Being in a good condition
- noun
- Complete amount or sum; total
but
US / bət /
•UK / bʌt,bət /
- conjunction
- Used before you say something different, opposite
especially
US / ɪˈspeʃəli /
•UK / ɛˈspɛʃəli, ɪˈspɛʃ- /
- adverb
- More than usual; extremely
good
US / ɡʊd /
•UK / ɡʊd /
- adjecitve
- Proper, appropriate or right
- (Of an amount) enough; plenty
- Excellent; high quality
- Acting well or properly; of moral character
- In a positive or happy emotional state
- noun
- Advantage or benefit
involve
US / ɪn'vɒlv /
•UK / ɪnˈvɑlv /
- verb
- To have or be included as a part of something
would
US / wʊd /
•UK / wʊd /
- other
- Used to indicate something imagined
- Used to ask or request something politely
- Verb used to indicate possibility, request etc.
- Used to indicate a preference
- Used to indicate a reaction
- Indicates something that occurred repeatedly
- Used to indicate willingness or ability to do
video
US / 'vɪdɪəʊ /
•UK / ˈvɪdiˌo /
- adjecitve
- Of a moving film, with sound
- noun
- Recording capturing action with sound
- verb
- To make a moving film of, with sound
equal
US / 'i:kwəl /
•UK / ˈikwəl /
- adjecitve
- Same in shape, size, or number
- verb
- To add up or be the same as
now
US / naʊ /
•UK / naʊ /
- adverb
- At the present time or moment
- Right away or in the next possible moment
- Used to refer to something that just happened
- Time between the present and a moment in the past
- conjunction
- Resulting from or because of something
just
US / dʒʌst /
•UK / dʒʌst /
- adjecitve
- Proper or appropriate; as is deserved
- Doing or being what is right or fair
- Legally correct; having enough evidence
- adverb
- Almost; nearly
- Exactly at the time of
- Exactly (the same as, like)
definitely
US / ˈdefɪnətli /
•UK / ˈdefɪnətli /
- adverb
- Without question; beyond doubt
slope
US / sləʊp /
•UK / sloʊp /
- noun
- Angle of a decline, e.g. where a road dips down
- Surface on which people can ski
- verb
- To have one end that is not as high as the other
necessarily
US / ˌnesəˈserəli /
•UK / ˌnɛsɪˈsɛrəli, -ˈsɛr- /
- adverb
- In a way that is needed/required/is unavoidable
for
US / fə(r) /
•UK / fɔr,fə /
- preposition
- Used to show the purpose, or need of something
time
US / taɪm /
•UK / taɪm /
- noun
- Speed at which music is played; tempo
- Point as shown on a clock, e.g. 3 p.m
- Number of hours, minutes needed to do something
- Occasion when something happens
- Period or occasion that something occurred
- Period in history or the past
- Something measured in minutes, hours, days, etc.
- How long an event takes; duration
- verb
- To check speed at which music is performed
- To choose a specific moment to do something
- To measure how long an event takes, e.g. a race
- To schedule something to occur at a specific moment
start
US / stɑ:t /
•UK / stɑrt /
- noun
- First time or place that a thing exists; beginning
- First opportunity to achieve something, e.g. a job
- Sudden action or movement because you are scared
- other
- Beginning of something in place or time
- verb
- To do, be or happen for the first time; begin
- To turn something on
well
US / wel /
•UK / wɛl /
- adjecitve
- Being in a fortunate, good condition or state
- Healthy and in good condition
- adverb
- In an acceptable, proper, or successful manner
- In a complete, total, or full manner
- A great and considerable degree
- In a successful way, in a good or satisfactory way
- exclamation
- Used to begin or continue a particular statement
- Used to show you want to start saying something
- Used to express that you are waiting for a reply
- You say this to change the topic of a conversation
- Used to indicate you are making a final remark
- noun
- Long deep hole in the ground to get water
- verb
- To cause your eyes to fill with tears
undefined
US / ˌʌndɪˈfaɪnd /
•UK / ˌʌndɪˈfaɪnd /
- adjecitve
- Not precisely limited or described
max
US / mæks /
•UK / mæks /
- noun
- Person's name
- Short for 'maximum'
green
US / gri:n /
•UK / ɡrin /
- adjecitve
- Color of young leaves
- Covered with vegetation, e.g. grass
- Concerned about protecting the environment
- The color of young leaves
- Lacking in experience/knowledge due to being young
- Being not fully grown or ripe, as in fruit
- noun
- Large grassy area
- used as a part of a name of a place (UK)
visually
US / 'vɪʒʊəlɪ /
•UK / ˈvɪʒʊəlɪ /
- adverb
- With respect to vision
positive
US / ˈpɒzətɪv /
•UK / ˈpɑzɪtɪv /
- adjecitve
- Showing agreement or support for something
- Being sure about something; knowing the truth
- Having the charge produced by electrons
- Being good or useful
- Showing that a chemical is present in a test
could
US / kəd /
•UK / kʊd /
- other
- Past form of 'can' to mean have ability
- Used to ask for something politely, or to offer
increase
US / ɪn'kri:s /
•UK / ɪnˈkris /
- noun
- Fact of increasing; amount something grows by
- verb
- To make or become larger in size or amount
have
US / həv /
•UK / hæv /
- verb
- To drink, smoke, eat or use something
- To experience the effects of something
- To organize an event, or join in an activity
- To own, possess, or hold something
- To cause to happen or produce a particular effect
last
US / lɑ:st /
•UK / læst /
- adjecitve
- Most recent; the latest
- The one before
- adverb
- Final; with nothing following; after all others
- Most recent; the latest
- determiner
- The one at the end
- verb
- To remain or continue for a certain period of time
explore
US / ɪk'splɔ:(r) /
•UK / ɪkˈsplɔr /
- verb
- To examine something in detail to learn about it
- To travel to a place to discover more about it
prime
US / praɪm /
•UK / praɪm /
- adjecitve
- Concerning the highest in quality or value
- Concerning the highest level of achievement
- Most important, chief importance in value
- verb
- To get a person ready for; prepare someone
- To coat with paint to prepare it for the main coat
negative
US / 'neɡətɪv /
•UK / ˈnɛɡətɪv /
- adjecitve
- Being harmful, unwanted or unhelpful
- In mathematics, being less than zero
- Focusing on the bad aspects; pessimistic
- noun
- The opposite to a positive electrical charge
- In grammar, containing words such as 'no' or 'not'
- Reply to a question or statement that means 'no'
- Image on camera film used to make a photo
see
US / si: /
•UK / si /
- verb
- To go on a date with someone
- To predict whether something is, or will be true
- To understand what someone says
- To use your eyes to look at something
- To visit a place often for sightseeing or pleasure
- To visit or meet with someone
- To find out by waiting or looking
- To watch (a game, movie or TV show)
with
US / wɪð /
•UK / wɪð, wɪθ /
- preposition
- As an employee of a certain company
- Against something or someone
- By using something as a means
- Due to; because of
- Including
- Possessing as a feature
- Related to
- (Of the manner/attitude by which you do something)
- Used to express that people or things are together
right
US / raɪt /
•UK / raɪt /
- adjecitve
- Correct or true
- The south side of you looking at the rising sun
- adverb
- Exactly in a place or time
- Being appropriate for a particular event
- In a straight or direct manner
- noun
- Something you are legally or morally allowed to do
- Ideal of what is just and good
- Political view based on conservatism
- verb
- To fix something previously wrong or unjust
- To make upright, as a boat that has turned over
value
US / 'vælju: /
•UK / ˈvælju /
- noun
- Importance you attach to something
- Some information expressed as a number
- Stated price of something; worth
- verb
- To place a high importance on something
- To say how much money something is worth
get
US / ɡet /
•UK / ɡɛt /
- verb
- To become affected by illness or disease
- To begin to feel or understand an emotion or idea
- To send or bring someone or something home, etc.
- To go somewhere to obtain something
- To (cause to) do a particular thing
- To obtain, receive or be given something
- To currently have
- To prepare for use
- To understand something being said or read
again
US / ə'ɡen /
•UK / əˈɡɛn /
- adverb
- One more time, once more
different
US / ˈdɪfrənt /
•UK / ˈdɪfrənt /
- adjecitve
- Not of the same kind; unlike other things
like
US / laɪk /
•UK / laɪk /
- adjecitve
- Being equal in status or kind to something else
- Similar; the same
- adverb
- For example
- preposition
- Used as a filler; used to ad emphasis
- In a way similar to the way something is done
- Such as; for example
- verb
- To want to
- To find something pleasing; to prefer something
steep
US / sti:p /
•UK / stip /
- adjecitve
- Very expensive
- Rising or falling very sharply, as a cliff or hill
- Involving a quick increase or decrease
- verb
- To fill with a certain quality, e.g. history
- To put a thing in a liquid for some time
what
US / wɒt /
•UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /
- pronoun
- Thing or things that; the same kind as
- Used to emphasize something you are about to say
- adjecitve
- Used to refer to a particular amount, or number
- Used to place emphasis on a particular quality
- adverb
- To a certain degree
- determiner
- Question words used for asking for information
- exclamation
- Used to express excitement, shock, or surprise
- Used to ask people to repeat something they said
that
US / ðæt /
•UK / ðæt, ðət /
- adjecitve
- The person or thing being talked about
- Used to identify something both the speakers know
- adverb
- Used to reinforce adjectives and adverbs
- To such a degree
- conjunction
- Used to connect a noun clause
- Used to introduce an adverbial clause
- Used to introduce a noun clause
- determiner
- Used as a noun to refer to something
- pronoun
- Referring an object far away
- Used to refer to the relative pronoun ‘which’
down
US / daʊn /
•UK / daʊn /
- adjecitve
- Being sad, sick, or unhappy
- Not operating, working, or functioning as expected
- adverb
- In a sitting or lying position
- Towards or on the ground, floor, or bottom
- Written or copied onto a piece of paper or book
- noun
- A period of play in American Football
- The soft, smooth hairs that cover a bird's body
- preposition
- Along something's path, course, or direction
- Going from a higher position to a lower position
- verb
- To eat or drink very quickly and without stopping
then
US / ðen /
•UK / ðɛn /
- adverb
- A time that is not now
- Following another thing in time or arrangement
- Following on reasonably from what was just stated
- At that time, not now
decrease
US / dɪˈkri:s /
•UK / dɪˈkris /
- noun
- Amount by which something has been reduced
- verb
- To reduce the size, amount or number of something
happen
US / 'hæpən /
•UK / ˈhæpən /
- verb
- To take place or occur
great
US / ɡreɪt /
•UK / ɡret /
- adjecitve
- Very large in size
- Very important
- Very good; fantastic; wonderful
- adverb
- Very good; better than before
- noun
- Successful and well-admired person
mean
US / mi:n /
•UK / min /
- adjecitve
- Being good at
- Nasty; unkind
- Not liking to spend money; cheap; stingy
- noun
- Average of a set of numbers
- verb
- To express a particular idea or thought
- To intend to do something in particular
- To have a particular meaning or value
stay
US / steɪ /
•UK / ste /
- noun
- Legal order to stop or delay an action
- Strong rope or wire that supports a ship's mast
- Period of time spent living in or visiting a place
- verb
- To keep trying without giving up
- To remain in the same place and not move away
- To spend time visiting a place or someone's home