Question

Найти производную y= cosx/x^2

Answer 1

$y'= \frac{(cosx)'* x^{2}-cosx*( x^{2} )'}{ ( x^{2} )^{2} } = \frac{-sinx* x^{2} -2xcosx}{ x^{4}} = \\ =\frac{-sinx* x -2cosx}{ x^{3}}=-\frac{sinx* x +2cosx}{ x^{3}}$