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Math Help - implicit differentiation

  1. #1
    Junior Member
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    Jun 2008
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    implicit differentiation

    Hi,

    Can anyone explain how I can find dy/dx of the following:[

    8Ye^(6XY)]=sin(4x)

    Many thanks

    Bryn
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  2. #2
    Senior Member
    Joined
    Jul 2009
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    Hi Bryn


    8y~e^{6xy} = \sin(4x)

    \ln (8y~e^{6xy}) =\ln \sin(4x)

    \ln(8y)+6xy=\ln \sin(4x)

    Now do the implicit differentiation
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  3. #3
    Junior Member
    Joined
    Jun 2008
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    I can't seem to proceed easily,

    The answer I have worked out is as follows:


    (1/8y)(dy/dx)+6y+6x*(dy/dx)=(4cos(4x))/sin(4x)


    Using this the question asks me to find the value of dy/dx at the coordinates (0,0).

    I found this to be 0 which it seems is wrong, can someone explain to me why this is?

    Many thanks
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