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Math Help - Implicit Differentiation

  1. #1
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    Implicit Differentiation

    Hello,

    Can someone please explain how implicitly differentiating u(x1,x2(x1)) = k with respect to x1 yields du(x1,x2)/dx1 + du(x1,x2)/dx2 * dx2/dx1 = 0 ?

    The textbook I'm reading just makes the statement and I'm not sure how it works out that way.

    Thanks!
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  2. #2
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    Re: Implicit Differentiation

    chain rule of differentiating multi-variable functions:

    du/(dx_1 )=∂u/(∂x_1 )+{∂u/(∂x_2 ) } (∂x_2)/(∂x_1 )=dk/(dx_1 )=0
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