AP Calculus 3.4 Practice (select probs)

3.4 Chain Rule
Practice Problems
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Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: 30x\left(3x^2-1\right)^4

Deg^°

Rad

Math Response

Find the Derivative

in any form. (use x as the variable instead of r)

Type answer here

Correct Answer: \frac{10x-2}{3\sqrt[3]{\left(5x^2-2x+1\right)^2}}

Deg^°

Rad

Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: -\frac{28x}{\left(7x^2-1\right)^3}

Deg^°

Rad

Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: \frac{6x}{\sqrt{3x^2-5}}

Deg^°

Rad

Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: 2\pi\left(\pi x-1\right)

Deg^°

Rad

Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: 4+\frac{3}{\sqrt{\left(2x+1\right)^3}}

Deg^°

Rad

Math Response

Find the Derivative

in any form.

Type answer here

Correct Answer: \frac{12x\sqrt{2-5x}-\left(\frac{-5}{2\sqrt{2-5x}}\right)\left(6x^2-5\right)}{\left(\sqrt{2-5x}\right)^2}

Deg^°

Rad