Question

$y= x^{2} e^{sin frac{1}{x} }$

Производная функции.

Answer 1

$y'=(x^2)'*e^{sinfrac{1}{x}}+x^2*(e^{sinfrac{1}{x}})'=2xe^{sinfrac{1}{x}}+x^2e^{sinfrac{1}{x}}*(sinfrac{1}{x})'=\ \ =xe^{sinfrac{1}{x}}(2+xcosfrac{1}{x}*(frac{1}{x})')=xe^{sinfrac{1}{x}}(2-frac{1}{x}cosfrac{1}{x})$