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Math Help - implicit differentiation with e

  1. #1
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    Derivative with log

    hi everyone i am having troubles answering this question:

    Determine the equation of the tangent line at the indicated -coordinate.
    for .
    The equation of the tangent line in slope-intercept form is


    i tried everything but it tells me my answer is incorrect.... Please help me

    PS. I am allowed to use the calculator for this problem
    I also posted the wrong title
    Thank you..
    Last edited by danicloud; November 20th 2011 at 02:26 PM.
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  2. #2
    Super Member Quacky's Avatar
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    Windsor, South-East England
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    Re: implicit differentiation with e

    We have: e^{9x}\cdot~e^{14y}=9y^2+x

    Differentiating the left as a product, we get:

    \frac{d}{dx}(e^{9x})\cdot~e^{14y}+\frac{d}{dy}(e^{  14y})\cdot (\frac{dy}{dx})\cdot{e^{9x}}=\frac{d(9y^2+x)}{dx}

    Can you take it from here? If not, please show your method.
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  3. #3
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
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    Re: Derivative with log

    Quote Originally Posted by danicloud View Post
    hi everyone i am having troubles answering this question:

    Determine the equation of the tangent line at the indicated -coordinate.
    for .
    The equation of the tangent line in slope-intercept form is


    i tried everything but it tells me my answer is incorrect.... Please help me

    PS. I am allowed to use the calculator for this problem
    I also posted the wrong title
    Thank you..
    How irritating that you've changed the question whilst I was halfway into answering the previous one!
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