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Math Help - partial Derivative

  1. #1
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    partial Derivative

    What is the partial derivative with respect to y of squareRoot(x-y)? Thanks.
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  2. #2
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    \displaystyle f = \sqrt{x-y}

    \displaystyle f = (x-y)^\frac{1}{2}

    Hold x as constant

    \displaystyle \frac{\partial f}{\partial y} = \frac{1}{2}(-1)(x-y)^\frac{-1}{2}

    \displaystyle \frac{\partial f}{\partial y} = \frac{-1}{2\sqrt{x-y}}
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