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Find the derivative of $f(x)$ . $\newline$ $f(x) = \tan(x)$ $\newline$ $f'(x) =$ ______

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Find derivatives of other trigonometric functions

Full solution

Q. Find the derivative of

f(x)

.

\newline

f(x) = \tan(x)

\newline

f'(x) =

______

Apply derivative rules: To find the derivative of $f(x) = \tan(x)$ , we need to apply the derivative rules for trigonometric functions. $\newline$ The derivative of $\tan(x)$ is $\sec^2(x)$ . $\newline$ So, $f'(x) = \frac{d}{dx}(\tan(x)) = \sec^2(x)$ .

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