I have this equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_t^T n(s) (1- e^{-c (T-s)}) ds = c F(T)

[/tex]

and I need to differentiate both sides with respect to T

[tex]

\frac{\partial }{\partial T}

[/tex]

to get the following result

[tex]

\int_t^T n(s) ( e^{-c (T-s)}) ds = \frac{\partial F(T)}{\partial T}

[/tex]

How was it done ? What integration and differentiation rule was used ? If you could show it step by step I would appreciate.

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# Differentiation of an Integral

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