Question

Найти производную уравнения

Answer 1

$y=ctg(cos2)+\frac{1}{6}\cdot \frac{sin^26x}{cos12x}\\\\cos2=const\; \; \to \; \; ctg(cos2)=const\; ,\; (const)'=0\\\\y'=0+\frac{1}{6}\cdot \frac{2sin6x\cdot cos6x\cdot 6\cdot cos12x-sin^26x\cdot 12\cdot (-sin12x)}{cos^212x} =\\\\= \frac{sin12x\cdot cos12x+6\cdot sin^26x\cdot sin12x}{cos^212x} = \frac{0,5sin24x+6\cdot sin^26x\cdot sin12x}{cos^212x}$