Question

hey guys, i have a derivative question:

f(x) = (x^3 + 2x) e^x

My answer i got was: f'(x) = e^x(3x^2 + 2)
But the book says: f'(x) = e^x(x^3 + 3x^2 + 2x + 2)

Can I get an explanation on how to get the correct answer?

Answer 1

you can to apply the product rule f(x)g(x) = g'(x)f(x)+f'(x)g(x)

Answer 2

.,
ohhhh

Answer 3

um does that only apply to exponential functions?

Answer 4

sorry i think i dozed off during class.

Answer 5

No it is true for all expressions of type f(x).g(x)

Answer 6

thanks a lot ankit

Answer 7

No problem!

Answer 8

you could also multiply out and then take the derivative
still need the product rule though

Answer 9

ya i see ty