Question

What's the derivative of f(x)= xe^-x^2

Answer 1

i am pretty sure you can only break that down using ln

Answer 2

No need to use ln. You have to use the product rule.

Answer 3

Yes product rule, but is it necessary to do ln AnwarA. I don't think so, it is a form we can handle.

Answer 4

\[f'(x)=x(-2xe ^{-x^2})+e ^{-x^2}\]

Answer 5

Simplify, you will get:
\[f'(x)=e ^{-x^2}(1-2x^2)\]

Answer 6

Does that makes sense?

Answer 7

I"m not sure how you simplified

Answer 8

Well. I took e^(-x^2) as a common factor, and multiplied (-2x)(x)=-2x^2.

Answer 9

oh! That makes sense :)

Answer 10

Are you aware of the product rule? Can you use it?

Answer 11

Yes. Thanks so much for your help!

Answer 12

You're most welcome!!

Answer 13

Have a great day!