Question

найти производную функций y=cos^4(6x^2+9)

Answer 1

$y'=(cos^4(6x^2+9))'=4cos^3(6x^2+9)cdot(cos(6x^2+9))'=\ =-4cos^3(6x^2+9)sin(6x^2+9)(6x^2+9)'=\=-48xcos^3(6x^2+9)sin(6x^2+9)$

Answer 2

y=4cos^3(6x^2+9) * cos^4*12x