Question

Y=x^3/ctgx найти производную

Answer 1

$y= \frac{x^3}{ctgx} \\\\y'= \frac{3x^2\cdot ctgx-x^3\cdot \frac{-1}{sin^2x}}{ctg^2x} = \frac{3x^2\cdot ctgx\cdot sin^2x+x^3}{sin^2x\cdot ctg^2x} = \frac{3x^2\cdot cosx\cdot sinx+x^3}{cos^2x}$