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

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

$$\displaystyle{f}'{\left({x}\right)}=^{{{1}}}{\frac{{{1}}}{{{x}^{{{2}}}+{1}}}}\dot{{{x}^{{{2}}}+{1}}}'$$
$$\displaystyle={\frac{{{2}{x}}}{{{x}^{{{2}}}+{1}}}}$$