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Math Help - partial derivative with a restraint

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    partial derivative with a restraint

    Consider a radial function z=g(r). Let P be the point with polar coordinates (r,\theta)=(2,\frac{\pi}{3}) and suppose g'(2)=3
    Evaluate: \frac{\partial z}{\partial x} at P if y is held constant.

    I know that give a function z=f(x,y) z can be determined given f and any two of x, y, r, \theta

    I attempted to make a tree diagram for this problem.
    Attached Thumbnails Attached Thumbnails partial derivative with a restraint-tree.bmp  
    Last edited by superdude; November 18th 2009 at 04:37 PM. Reason: added math tags
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