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Math Help - Partial Derivatives

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    Partial Derivatives

    How do I find the first partials of the function below?

    f(x,y)=\int_{y}^{x}cos(t^{2})dt
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    Quote Originally Posted by bilalsaeedkhan View Post
    How do I find the first partials of the function below?

    f(x,y)=\int_{y}^{x}cos(t^{2})dt
    You need to use the fundamental theorem of calculus.

    \displaystyle \frac{\partial f}{\partial y}=\frac{\partial }{\partial y}\left(-\int_{x}^{y}cos(t^{2})dt\right) =-\cos(y^2)

    now try the x one.
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