Question

Find the derivative of y witrh respect to X: y=-3x^2 e^(x+1)?

Answer 1

y = -3x^2 e^(x+1)

use product rule and substitution.

y' = r'l + rl' ; l' = e^u Du = e^(x+1)(1)

y' = -6x e^(x+1) + -3x^2 e^(x+1)

simplfy as needed/wanted

Answer 2

y' = -3x e^(x+1) (2 + x) if I kept track ot it all :)