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AP Calculus BC Quiz 4 Differentiation Rules cloned 10/1/2020

Last updated almost 5 years ago

7 questions

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Question 1

1.

Find the derivative of f(x)={\frac{5}{3}x^9-2x^6+\frac{14}{3}x^3+x+1}

Question 2

2.

Find \frac{dy}{dx} if \ y=\frac{1}{x^8}

Question 3

3.

Find \frac{dy}{dx} if \ y=x+\sin{4x}

Question 4

4.

Find \frac{d^2y}{dx^2} if \ y=\csc{x}

Question 5

5.

Find \frac{dV}{dr} if \ V=\frac{4}{3}\pi r^3+4r^2

Question 6

6.

What is \lim_{h\to0} \frac{\tan(\pi +h)-\tan(\pi)}{h}?

Question 7

7.

If y=\frac{6-x}{x^2+1}, then \frac{dy}{dx}=