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

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Last updated about 5 years ago
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1.

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

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2.

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

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3.

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

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4.

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

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5.

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

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6.

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

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7.

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