Question

найти производную y= ∛x²(1+х)

Answer 1

$y= sqrt[3]{x^2(1+x)} =(x^2(1+x))^{ frac{1}{3} } \ y'=frac{1}{3}(x^2(1+x))^frac{-2}{3}*(2x(x+1)+x^2)=frac{(3x^2+1)}{3* sqrt[3]{(x^2(1+x))^2} }$