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Math Help - Implicit Differentation

  1. #1
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    Implicit Differentation

     e^y+24-e^-1 = 5x^2+4y^2

    I can't figure this out....

    I believe this stage is correct e^y+e^-1=10x+8y*y'-y'

    But Need help on further solving it.


    Help appreciate.
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  2. #2
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    Actually the first step should be y'e^y = 10x + 8yy'
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  3. #3
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    Where did you put the e^-1?
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  4. #4
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    e^{-1} is a constant and its derivative is 0.
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  5. #5
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    I thought it was -e^-1.

    Anyway, in case of constant I get (10x)/(-1*e^y-8y). Where could I have gone wrong there?
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  6. #6
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    I get y' = \frac{10x}{e^y - 8y}
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  7. #7
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    The reason i have negative 1 is because there are two y', and when i place it ont he other side (-y') I factored and assumed 1. Why is this not correct?

    Thanks however.
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