anonymous
  • anonymous
Find the derivative of xe^-2x
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@rajathsbhat can u help?
anonymous
  • anonymous
can you do it if i teach you how to derive e^-2x?
anonymous
  • anonymous
I got 2e^-2x is that correct?

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anonymous
  • anonymous
product rule..
anonymous
  • anonymous
okay
anonymous
  • anonymous
what you got when you differentiated the exponent is correct......
anonymous
  • anonymous
okay
anonymous
  • anonymous
do you know the product rule??
anonymous
  • anonymous
no
anonymous
  • anonymous
this is the product rule..... it says if you have eg.... \[y=uv\] \[\frac{ dy }{ dx }= uv \prime + vu \prime \]
anonymous
  • anonymous
ok
anonymous
  • anonymous
can you give an example?
anonymous
  • anonymous
yes...sure eg. \[y= 7xe ^{x ^{2}}\] \[\frac{ dy }{ dx }=7x \times 2xe ^{x ^{2}} +xe ^{x ^{2}} \times 7\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
can you simplify it further from there?????
anonymous
  • anonymous
i think so
anonymous
  • anonymous
thx for the help
anonymous
  • anonymous
you are welcome.....

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