Question

Найдите производную функции а) y=1+cosx
б) y=x-1/x^2

Answer 1

a)

$(1 + cosx)' = (1)' + (cosx)' = -sinx$

б)

$\frac{x - 1}{x^2} = (\frac{1}{x} - \frac{1}{x^2})' = (x^{-1})' - (x^{-2})' = -\frac{1}{x^2} + \frac{2}{x^3}$