I am unsure where to begin with finding this partial derivative.

f(x,y)=integral from y to x of cos(t^2)dt

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- Mar 21st 2009, 02:37 PMthehollow89partial der
I am unsure where to begin with finding this partial derivative.

f(x,y)=integral from y to x of cos(t^2)dt - Mar 21st 2009, 03:03 PMmr fantastic
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Using the Fundamental Theorem of Calculus and noting that y is treated as a constant when you differentiate with respect to x:

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Now note that and use the Fundamental Theorem of Calculus again (note that x is treated as a constant when you differentiate with respect to y):

. - Mar 21st 2009, 03:07 PMJester