## Educators

### Problem 1

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\ln \left(x^{4}+8\right)$$

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### Problem 2

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\ln (3 x \sqrt{3+x})$$

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### Problem 3

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\ln (\cot x-\csc x)$$

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### Problem 4

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\ln \left(\frac{5 x^{2}}{\sqrt{5+x^{2}}}\right)$$

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### Problem 5

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=e^{x \cos x}$$

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### Problem 6

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=e^{-3 x} \sin 5 x$$

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### Problem 7

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=e^{\pi x}-\ln e^{\pi x}$$

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### Problem 8

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\log _{12}\left(x^{3}\right)$$

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### Problem 9

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\frac{\log _{4} x}{e^{4 x}}$$

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### Problem 10

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\log \sqrt{10^{3 x}}$$

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### Problem 11

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=e^{3 x}-3^{e x}$$

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### Problem 12

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=10^{\sin x}$$

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### Problem 13

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=\ln \left(10^{x}\right)$$

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### Problem 14

Now find the derivative of each of the following functions. The answers are in Chapter $19 .$
$$f(x)=x^{5} 5^{x}$$

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