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Section 1

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Concave

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Calculus Math

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Date created

Mar 1, 2020

Cards (31)

Section 1

(31 cards)

Concave

Front

Concave down

Back

Point of Inflection

Front

Where f is continuous there and the curve changes from convex to concave or vice versa at p

Back

Point of Inflection

Front

F"(x) = 0

Back

-sin x

Front

d/dx cos x

Back

-csc x cot x

Front

d/dx csc x

Back

Concavity

Front

Direction of a curve

Back

1st derivative

Front

Identifies the slope

Back

Convex

Front

F"(x) > 0

Back

Implicit

Front

X does not lead directly to y

Back

Local/Relative Maximum/Minimum

Front

Points higher/lower than most points

Back

sin x

Front

d/dx 1-cos

Back

POI, Neither Extrema

Front

Saddle

Back

Extrema

Front

Maximum and minimum points

Back

Absolute Maximum/Minimum

Front

Highest/lowest point on its entire domain

Back

Explicit

Front

When x can be calculated directly to y

Back

2 cos x

Front

d/dx sin 2x

Back

Concave

Front

Second derivative is negative

Back

-csc^2 x

Front

d/dx cot x

Back

F" continuous near c

Front

2nd derivative test

Back

Decreasing

Front

F'(x) < 0

Back

Convex

Front

Second derivative is positive

Back

Critical point

Front

F'(c) = 0

Back

sec x tan x

Front

d/dx sec x

Back

sec^2x

Front

d/dx tan x

Back

Extrema

Front

F'(x) = 0

Back

Extrema

Front

Where graph of the function flattens out

Back

Concave

Front

F"(x) < 0

Back

Convex

Front

Concave up

Back

cos x

Front

d/dx sin x

Back

Increasing

Front

F'(x) > 0

Back

Critical point

Front

F'(c) does not exist

Back