Question

Найти производную x^2*sqrt(1-x^2)

Answer 1

$frac{dy}{dx}=(x^2)'cdot sqrt{1-x^2} +x^2cdot (sqrt{1-x^2})'=2xcdot sqrt{1-x^2}+x^2cdotfrac{-1}{2cdot sqrt{1-x^2}}cdot 2x= frac{2x-3x^3}{sqrt{1-x^2}}$