Question

y=e^(x/a)*cosx/a найти производную

Answer 1

$y=e^{frac{x}{a}}cdot cosfrac{x}{a}\\y'=frac{1}{a}cdot e^{frac{x}{a}}cdot cosfrac{x}{a}-frac{1}{a}cdot e^{frac{x}{a}}sinfrac{x}{a}=frac{1}{a}cdot e^{frac{x}{a}}(cosfrac{x}{a}-sinfrac{x}{a})$