Question

Найти производную Y=e^2x*(x^2+5)

Answer 1

2е^2х*(x^2+5)+2x*e^2x

Answer 2

Y'=$(e^{2x} *( x^{2} +5))'=(e^{2x})'*( x^{2} +5)+e^{2x}*( x^{2}+5 )'=$$2e^{2x}*( x^{2} +5)+ e^{2x}*2x=e^{2x}*(2 x^{2} +2x+10) =2e^{2x}*( x^{2} +x+5)$