Question

Find the derivatives of the following functions. f(x)=x\tan h x

Derivatives
ANSWERED
asked 2021-05-04
Find the derivatives of the following functions.
\(\displaystyle{f{{\left({x}\right)}}}={x}{\tan{{h}}}{x}\)

Answers (1)

2021-05-06
Step 1 Let us find the derivative of given function
Given:
\(\displaystyle{f{{\left({x}\right)}}}={x}{\tan{{h}}}{x}\)
Step 2 Answer
\(\displaystyle{f}'{\left({x}\right)}={x}{\tan{{h}}}{x}\)
\(\displaystyle{f}'{\left({x}\right)}={x}{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({\tan{{h}}}{x}\right)}+{\tan{{h}}}{x}{\frac{{{d}}}{{{\left.{d}{x}\right.}}}}{\left({x}\right)}\)
\(\displaystyle{f}'{\left({x}\right)}={x}{{\sec{{h}}}^{{{2}}}{x}}+{\tan{{h}}}{x}\)
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