Question

найдите производную
у=√х (1+х^2)

Answer 1

$y'=( sqrt{x} (1+x^2))' = ( sqrt{x} +x^{5/2})' = ( sqrt{x})' +(x^{5/2})' = \ \ = frac{1}{2 sqrt{x}} + frac{5}{2}*x^{3/2}$