Question

Найти производную функции
1) y=ctgx/x б) y= ln ln x

Answer 1

1)$y'= frac{- frac{x}{sin^2(x)}-ctg(x)}{x^2} = - frac{x}{x^2sin^2(x)}- frac{cos(x)}{x^2sin(x)} =- frac{x+cox(x)sin(x)}{x^2sin^2(x)}$
2)$y'= frac{1}{ln(x)} * frac{1}{x} = frac{1}{x*ln(x)}$