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Math Help - partial derivative

  1. #1
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    partial derivative

    Can someone pls tell me what the x partial derivative of:

    (25-(x^2)-(y^2))^(1/2) is and how you would go about working it out.
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  2. #2
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    all ok

    it's ok - i worked it out.
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  3. #3
    TD!
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    Are you sure? If you want we can check your answer if you post it
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  4. #4
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    Quote Originally Posted by jedoob
    Can someone pls tell me what the x partial derivative of:

    (25-(x^2)-(y^2))^(1/2) is and how you would go about working it out.
    Let me just post the answer so you can check with mine.
    z=\sqrt{25-x^2-y^2} consider y a constant because you need to find \frac{\partial z}{\partial x}.
    Thus, by the chain rule,
    \frac{1}{2}\cdot (-2x)(25-x^2-y^2)^{-1/2}
    Thus,
    -\frac{x}{\sqrt{25-(x^2+y^2)}}
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