Question

Найти производную у=(1-х^2)(4x+x^2)

Answer 1

$y=(1-x^2)(4x+x^2) \ \ (hg)'=h'g+hg' \ y'=-2x(4x+x^2)+(1-x^2)(4+2x) \ y'=-8x^2-2x^3+4+2x-4x^2-2x^3 \ y'=-4x^3-12x^2+2x+4$

Answer 2

у=(1-х^2)(4x+x^2)
у'=-2x*(4x+x^2)+(1-x^2)*(4+2x)=-8x^2-2x^3+4+2x-4x^2-2x^3=-4x^3-12x^2+2x+4