Question

Найти производную
y=(cos2x+1)*(sin3x-1)
y= tgx^3*cos2x
y= cos^3(5x^2-4)

Answer 1

$y=(cos2x+1)(sin3x-1)\\y'=-2sin2x(sin3x-1)+3cos3x(cos2x+1)\\\y=tgx^3cdot cos2x\\y'=3x^2cdot frac{1}{cos^2x^3}c dot cos2x+tgx^3cdot (-2sin2x)\\\y=cos^3(5x^2-4)\\y'=-3cos^2(5x^2-4)cdot sin(5x^2-4)cdot 10x\\oo$