# Calc2.5

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Find the derivative of $f(x)\,$ with respect to $x\,$: $f(x)=\ln(7x^{2}e^{x}\sin x)\,$
$f(x)=\ln(7x^{2}e^{x}\sin x)=\ln 7+2\ln x+x\ln e+\ln(\sin x)\,$
$f'(x)={\frac {2}{x}}+1+{\frac {\cos x}{\sin x}}={\frac {2}{x}}+1+\cot x\,$