Question

求y=（x平方-2x+2）乘以e的4x次方的导函数

Answer 1

y=(x²-2x+2)×e^4x

y'=[(x²-2x+2)]'×e^4x+(x²-2x+2)×(e^4x)'

=(2x-2)×e^4x+(x²-2x+2)×4e^4x

=(2x-2+4x²-8x+8)×e^4x

=(4x²-6x+6)×e^4x