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AP Calculus

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Section 1

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d/dx arccos(x)

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Calculus Math

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Date created

Mar 1, 2020

Cards (35)

Section 1

(35 cards)

d/dx arccos(x)

Front

Back

f is concave down

Front

f'' is negative or f' is decreasing

Back

d/dx f(g(x))

Front

f'(g(x)) * g'(x)

Back

d/dx arcsin(x)

Front

Back

Product Rule

Front

Back

amount a a point

Front

Rate in-Rate out

Back

cos(π/6)

Front

Back

f has a relative maximum

Front

f' goes positive to negative

Back

speed decreasing

Front

v(t) and a(t) have opposite signs

Back

cos(π/4)

Front

Back

f decreases

Front

f' is negative

Back

Area of a triangle

Front

A=1/2bh

Back

sin(π/6)

Front

1/2

Back

d/dx sin(x)

Front

cosx

Back

speed

Front

|velocity|

Back

Area of a trapezoid

Front

A=h(b1+b2)/2

Back

v(t)

Front

x'(t)

Back

Average Value of a Function

Front

Back

f has a critical pont

Front

f' changes sign

Back

cos(π/3)

Front

Back

d/dx cos(x)

Front

-sinx

Back

a(t)

Front

v'(t)

Back

Area of a circle

Front

A=πr²

Back

speed increasing

Front

v(t) and a(t) have the same sign

Back

f increases

Front

f' is positive

Back

d/dx arctan(x)

Front

Back

Sin(π/4) 45

Front

Back

d/dx tanx

Front

Back

sin(0)

Front

0

Back

sin(π/3)

Front

Back

Quotient Rule

Front

Back

f has a point of inflection

Front

f'' changes sign or f' changes direction

Back

f is concave up

Front

f'' is positive or f' is increasing

Back

cos(0)

Front

1

Back

f has a relative minimum

Front

f' goes negative to positive

Back