Understanding the limiting process.

Practice Questions

AP Calculus AB › Understanding the limiting process.

Page 1 of 4

10 of 35

1

Find the derivative of

$f(x)=4(x^{3}-2x+11)(x-2)$

2

Find the derivative.

y = sec (5x3)

3

Evaluate the following limit:

$\lim_{x\rightarrow \pi}\frac{cos(x)+1}{sin(x)}$

4

Find $\frac{d^{2}y}{dx^{2}}$ if .

5

If $y=x^{3}e^{x}$ , then $\frac{dy}{dx} = ?$

6

Find the derivative of .

7

Evaluate the following limit:

$\lim_{h\rightarrow 0}\frac{ln(2+h)-ln2}{h}$

8

Find the derivative of:

$y=\sqrt[3]{(3x^3+4)^2}$

9

$\lim_{x\rightarrow 2^-}=\frac{x^2-4}{x-2}$

10

Evaluate the following limit:

$\lim_{x\rightarrow 4}x^2-3$

Page 1 of 4

Return to subject