anonymous
  • anonymous
differentiate. [(ae^x)+b]/[(ce^x)+d]... a,b,c,d are constants. i got this far..
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[[(ae^x+b)(ce^x+e^x)-(ce^x+d)(ae^x+e^x)]/[(ce^x+d)^2]\]
anonymous
  • anonymous
i dont know how to get the answer which is this..
anonymous
  • anonymous
\[[(ad-bc)e^x]/[(ce^x+d)^2]\]

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anonymous
  • anonymous
Do you know the quotient rule? d/(dx)[(f(x))/(g(x))]= (g(x)f^'(x)-f(x)g^'(x))/([g(x)]^2). I think you should just be able to apply that It's too long to write out but this shows step by step how to do it http://www.wolframalpha.com/input/?i=%28ae^x%2Bb%29%2F%28%28ce^x%29%2Bd%29
anonymous
  • anonymous
I don't think that the answer you got is right
anonymous
  • anonymous
How did you get the (ce^x+e^x) term?

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