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Math Help - partial implicit differentiation problem

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    partial implicit differentiation problem

    partial implicit differentiation problem-screen-shot-2012-12-09-5.01.10-pm.png

    I have no idea how to tackle this. Can someone show me how to get started with it?
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    Re: partial implicit differentiation problem

    Quote Originally Posted by kingsolomonsgrave View Post
    Click image for larger version. 

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    I have no idea how to tackle this. Can someone show me how to get started with it?
    As with many other problems like this the rule of choice is the chain rule:
    z = ln(zy + e^x)

    z_y = \frac{1}{zy + e^x} \cdot \frac{\partial }{\partial y} \left ( zy + e^2 \right )
    (You fill in the rest.)

    After you are done, just replace the z with ln(zy + e^x).

    If you need more help, just let us know.

    -Dan
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