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Thread: Implicit Differentation

  1. #1
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    Implicit Differentation

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

    I can't figure this out....

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

    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 $\displaystyle y'e^y = 10x + 8yy'$
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  3. #3
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    Where did you put the $\displaystyle e^-1$?
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  4. #4
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    $\displaystyle e^{-1}$ 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 $\displaystyle (10x)/(-1*e^y-8y)$. Where could I have gone wrong there?
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  6. #6
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    I get $\displaystyle y' = \frac{10x}{e^y - 8y}$
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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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