Question

how do you find the derivative of f(x)=e^x/x^2 ?

Answer 1

\[\frac{e^x}{x^2}=e^xx^{-2}\]
use the product rue

Answer 2

will the answer be f'(x)= -2xe^x + e^x/x^2 ?

Answer 3

Use quotient rule. take \[e^{x}\] to be f and \[x^{2}\] to be g. The quotient rule is this... \[\frac{ f^{'}g-f g^{'} }{ g^{2} }\]

Answer 4

which one is right , -2xe^x + e^x/x^2 or x^2e^x +2xe^x all over x^4 ??

Answer 5

Both of them are right, choose the one you like. :)

Answer 6

thank you :)

Answer 7

Yeah, I just solved the derivative using the two methods and I got the same answer.

Answer 8

okay thank you very much :)

Answer 9

No problem.