Question

Найдите производную $f(x) frac{4}{2+x^2}$

Answer 1

$f(x)= frac{4}{2+x^2} \\f'(x)= frac{-4cdot (2+x^2)'}{(2+x^2)^2} = frac{-4cdot 2x}{(2+x^2)^2} =- frac{8x}{(2+x^2)^2}$

Answer 2

f(x)=4/(2+x²)
(u/v)´=(u´v-uv´)/v²
u=4, u´=0, v=2+x², v´=2x
f´(x)=(-8x)/(2+x²)²