Free Printable AP Calc FRQ Practice Questions

1.

Find the Derivative? $y=\left(4x\right)^2$

a)

32x

b)

$\frac{4x^3}{3}$

c)

$16x^2$

d)

36x

2.

Which equation represents h'(x) of $h\left(x\right)=g\left(f\left(x\right)\right)$

a)

h'(x)=g'(f'(x))

b)

h'(x)=f'(g(x))g'(x)

c)

h'(x)=g'(f(x))f'(x)

d)

h'(x)=f(x)

3.

f(2)=5, f'(2)=-10, f''(2)=12, is f concave down or concave up at x=2?

a)

concave down

b)

concave around

c)

concave up

d)

concave washer method

4.

h(x)=f(x)g(x), what rule do you use to find h'(x)?

a)

The Quadratic Formula

b)

Product Rule

c)

Washer Method

d)

Quotient Rule

5.

$f\left(x\right)=\int_0^xg'\left(t\right)dt$ , which question finds f(2)?

a)

$f\left(2\right)=g\left(2\right)$

b)

$f\left(x\right)=\int_0^2g'\left(t\right)dt$

c)

$f'\left(x\right)=g'\left(x\right)$

d)

$f\left(x\right)=\int_x^2g\left(x\right)$

6.

If g(4)=-20, g'(4)=15, g''(4)=-3, is g increasing, decreasing, or neither at x=4?

a)

increasing

b)

decreasing

c)

washer method

d)

neither

AP Calc FRQ Practice Questions

Total questions: 6

Worksheet time: 3mins

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