anonymous
  • anonymous
find derivative of y = (e^x − e^−x)/6
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
$$\sinh x=\frac12(e^x-e^{-x})\implies y=\frac13\sinh x$$
anonymous
  • anonymous
Do you know the derivative of \(\sinh x\)?
anonymous
  • anonymous
why are you doing it with sine ?

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anonymous
  • anonymous
@oldrin.bataku I havent seen the sinh , i was thinking using the regular derivative formulas but I just cant seem to get the right answer
Loser66
  • Loser66
@camilasanchez if you don't know about sinh, cosh. that's ok, just take derivative as usual
Loser66
  • Loser66
try it. and show me your work, please
anonymous
  • anonymous
@camilasanchez pull out the (1/6) -- easy. What's the derivative of \(e^x\)? Surely just \(e^x\)! What about \(e^{-x}\) -- ah, use the chain rule!
anonymous
  • anonymous
with the chain rule in e^-x be: -1(e^-2x)(-1) ?
anonymous
  • anonymous
@oldrin.bataku
anonymous
  • anonymous
No it looks like you're trying to do the power rule!
anonymous
  • anonymous
$$\frac{d}{dx}e^{-x}=\frac{d(e^{-x})}{d(-x)}\cdot\frac{d(-x)}{dx}=e^{-x}\cdot-1=-e^{-x}$$
anonymous
  • anonymous
perfect thanks ! thats why I got it wrong I didnt know how to apply the chain rule correctly ! thanks!
anonymous
  • anonymous
no prob!

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