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## Homework Statement

Stumped.

Integral: f(x,y) = ∫ (from 1 to xy) of e^(t^2)dt

find both f

_{x}and f

_{y}

## The Attempt at a Solution

I've come up with:

f

_{x}(x,y)

=

^{∂}/

_{∂x}∫ (from 1 to xy) of e^(t^2)dt

Not sure where to go... possibly take the integral, the take the partial derivative? I found a solution that moves the derivative into the integral. It just looks like magic to me... not sure what they did. Could someone please break it down for me?