AP Calc. 3.2 Practice (1-6)

AP Calculus AB
3.2 Practice (#1-6)

Match

Define the variables

• $$u=$$

• $$v=$$

• $$u'=$$

• $$v'=$$

• $$5x-2$$

• $$x^2+1$$

• $$5$$

• $$2x$$

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: \frac{-5x^2+4x+5}{\left(x^2+1\right)^2}

Deg^°

Rad

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: 8x^3+3x^2-2

Deg^°

Rad

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: 12x^3+21x^2-36x+8

Deg^°

Rad

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: 2+\frac{5}{3x^2}

Deg^°

Rad

Match

Define the variables

• $$u=$$

• $$v=$$

• $$u'=$$

• $$v'=$$

• $$t+1$$

• $$\sqrt[]{t}$$

• $$1$$

• $$\frac{1}{2\sqrt[]{t}}$$

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: \frac{t+1}{2t^{\frac{3}{2}}}

Deg^°

Rad

Math Response

Derive the function

(in any form)

Type answer here

Correct Answer: 25r^4+6r

Deg^°

Rad