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## Homework Statement

Hi

Say I have for example

[tex]

f(x) = \int_0^x {e^{ - (x - x')} g(x')\,dx'}

[/tex]

Then is it correct that the derivative of f(x), f'(x), is given by

[tex]

f'(x) = g'(x) - g(x)

[/tex]

obtained by differentiating the integrand, and evaluate the result at x'=x?

Best.