# Find the derivatives of the functions. f(x)=[\ln (e^{x}]^{2}-\ln [(e^{x}^{2})]

Find the derivatives of the functions. $$\displaystyle f{{\left({x}\right)}}={\left[ \ln{{\left({e}^{{{x}^{{{2}}}}}\right)}}\right]}- \ln{{\left[{\left({e}^{{{x}^{{{2}}}}}\right)}\right]}}$$

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$$\displaystyle{f}'{\left({x}\right)}={2}{\left({x}-{1}\right)}$$