Question

Find derivatives for the functions. Assume a, b, c, and k are constants. f(x)=\ln (x^{2}+1)

Derivatives
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asked 2021-06-20
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{f{{\left({x}\right)}}}={\ln{{\left({x}^{{{2}}}+{1}\right)}}}\)

Answers (1)

2021-06-21
Find derivative of given function:
\(\displaystyle{f}'{\left({x}\right)}=^{{{1}}}{\frac{{{1}}}{{{x}^{{{2}}}+{1}}}}\dot{{{x}^{{{2}}}+{1}}}'\)
\(\displaystyle={\frac{{{2}{x}}}{{{x}^{{{2}}}+{1}}}}\)
Rules used:
(1) Chain rule
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