Question

Differentiate: x*e^((-x^2)/2)


Please show work. Kind regards...

Answer 1

http://www4b.wolframalpha.com/Calculate/MSP/MSP11801a2c67a3243cb3b6000053ef4204f17f5546?MSPStoreType=image/gif&s=28&w=426&h=623

Answer 2

yeah, wolfram alpha is good but I do not always trust it . It is great to check your work though. Thanks for your help experimentX

Answer 3

you have the product of two functions \(f(x)=x\) and \(g(x)=e^{-x^2/2}\)

Answer 4

okay, should I use both the product rule and chain rule

Answer 5

yes

Answer 6

so u would have
\[ y'=e^{-x^2/2}+xe^{-x^2/2}(-x)

Answer 7

okay

Answer 8

finally u have
\[ y'=e^{-x^2/2}(1-x^2) \]

Answer 9

is that after you have done the chain rule.?

Answer 10

i applied the chain rule to the exponential rule

Answer 11

sorry exponential functiom

Answer 12

yes

Answer 13

i have to go
good luck

Answer 14

thank you very much
You are a great help

Answer 15

experimentX - The wolfram answer was correct as well. I just needed a verified reply from a human. :)