Question

Срочно помогите с заданием y=(cosx)^x2

Answer 1

$Large y=(cos{x})^{x^2}|ln{x}\ ln{y}=x^2cdotln{(cos{x})} |{dyover dx}\ {y'over y}=2xcdotln{(cos{x})}+x^2cdot{1over cos{x}}cdot(-sin{x})\ y'=ycdot(2xcdotln{(cos{x})}-x^2cdot tg{x})\ y'=(cos{x})^{x^2}cdot(2xcdotln{(cos{x})}-x^2cdot tg{x})$