Question

Найти производную?
y=cos⁴(3-2x)

Answer 1

$y=\cos^4(3-2x)$

$y'=4\cos^3(3-2x)\cdot(\cos(3-2x))'=\\=4\cos^3(3-2x)\cdot(-\sin(3-2x))\cdot(3-2x)'=\\=-4\cos^3(3-2x)\sin(3-2x)\cdot(-2)=\boxed{8\cos^3(3-2x)\sin(3-2x)}$