Question

Производная от tg^4(x)
Желательно с решением

Answer 1

$fleft(varphi(x)right)=mathrm{tg}^4 (x)medskip\varphi(x)=mathrm{tg}(x);~f(x)=x^4medskip\left(fleft(varphi(x)right)right)'=f'left(varphi(x)right)cdotvarphi'(x)=4mathrm{tg}^3(x)cdotdfrac{1}{cos^2(x)}=dfrac{4mathrm{tg}^3(x)}{cos^2(x)}$