Question

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

Производная функции.

Answer 1

$y'=(x^2)'*e^{sin\frac{1}{x}}+x^2*(e^{sin\frac{1}{x}})'=2xe^{sin\frac{1}{x}}+x^2e^{sin\frac{1}{x}}*(sin\frac{1}{x})'=\\ \\ =xe^{sin\frac{1}{x}}(2+xcos\frac{1}{x}*(\frac{1}{x})')=xe^{sin\frac{1}{x}}(2-\frac{1}{x}cos\frac{1}{x})$