Question

Найти производную 1-ого порядка
Y=tgx:(x2-ex)

Answer 1

$y=\frac{tgx}{x^{2}-e^{x}}\\\\y'=\frac{(tgx)'*(x^{2}-e^{x})-tgx*(x^{2}-e^{x})'}{(x^{2}-e^{x})^{2}} =\frac{\frac{1}{Cos^{2}x }*(x^{2}-e^{x})-tgx*(2x-e^{x})}{(x^{2}-e^{x})^{2}}=\frac{x^{2}-e^{x} -SinxCosx(2x-e^{x})}{Cos^{2}x(x^{2}-e^{x})^{2}}$