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Chapter 10

Exponential and Logarithmic Functions, Part One

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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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