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Math Help - Finding the first partial derivatives of f(x,y) = xy sin(xy)

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    Finding the first partial derivatives of f(x,y) = xy sin(xy)

    Q. Find the first partial derivatives of f(x,y) = xy sin(xy)

    Here's my approach:

    Partial with respect to x = 2xy sin (xy) + xy cost (xy)
    Partial with respect to y = x sin (xy) + xy cos (xy)

    Does this seem right?
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    Quote Originally Posted by keysar7 View Post
    Q. Find the first partial derivatives of f(x,y) = xy sin(xy)

    Here's my approach:

    Partial with respect to x = 2xy sin (xy) + xy cost (xy)
    Partial with respect to y = x sin (xy) + xy cos (xy)

    Does this seem right?
    Looks right to me.
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  3. #3
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    Yes u are you are right.
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