differentiate the function f(x)= (x^2)(e^x)

[skyblue]

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

can someone please help me. i know it is the product rule. i just need it explained.

 

[stapel]

Since you know that the Product Rule is to be applied, then you know that two functions are being multiplied to form f(x). What are the two functions being multiplied?

What are the derivatives of those functions?

Now plug the functions and their derivatives into the Product Rule formula, and simplify.

Eliz.

 

[skyblue]

i did:

f=x^2
f'=2x
g=e^x
g'=xe

2x(e^x) + (x^2)(xe) plugged into product rule

now i don't know what i am doing wrong.

 

[Steem]

The derivative of e^x is e^x.