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Math Help - derivatives exponential functions

  1. #1
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    derivatives exponential functions

    could someone please tell me step by step how to solve this equation?Because i am completely lost.

    Find dy/dx for e^xy+x^2-y^2=10
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  2. #2
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    Quote Originally Posted by geryuu View Post
    could someone please tell me step by step how to solve this equation?Because i am completely lost.

    Find dy/dx for e^xy+x^2-y^2=10

    Implicit differentiation (derive each term both according to x and to y):

    e^xy + x^2 - y^2 = 10 ==> ye^xy dx + xe^xy dy + 2x dx - 2y dy = 0

    ==> (ye^xy + 2x)dx = (2y - xe^xy)dy ==>

    dy/dx = (ye^xy + 2x)/(2y - xe^xy)

    Tonio
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  3. #3
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    Use \frac{dy}{dx} = \frac{-F_x}{F_y}<br />

    Do you know how to find F_x and F_y ?
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