Question

Нaйдите прoизводнyю f(x) упростив уравнение
e)$f(x)=(tg(x)+ctg(x))cos^{2}(x)$

Answer 1

$f(x)=\frac{d}{dx}((tan(x)+cot(x))*cos(x)^{2})=f(x)=\frac{d}{dx}((\frac{sin(x)}{cos(x)}+\frac{cos(x)}{sin(x)})*cos(x)^{2})=\frac{d}{dx}(\frac{1}{sin(x)} *cos(x))=f(x)\frac{d}{dx}(\frac{cos(x)}{sin(x)})=f(x)\frac{d}{dx}(cot(x))\\f(x)=-csc(x)^{2}$

Объяснение:

$f(x)=-csc(x)^{2}$