What is the next obvious step for this integral?

Nov 2008
461
169
Hello.

I have this line given

\(\displaystyle \frac{\partial}{\partial f(t)} \int_0^x f(t)*g(t) dt\)

Is there any chance to simplify that?
Sadly there is no information given about the functions f(t) and g(t).

Any ideas?

Rapha
 

chisigma

MHF Hall of Honor
Mar 2009
2,162
994
near Piacenza (Italy)
The expression...

\(\displaystyle \int_{0}^{x} f(t)\cdot g(t)\cdot dt\) (1)

... is a function of the \(\displaystyle x\) alone so that its derivative repect to \(\displaystyle f(t)\) is zero...

Kind regards

\(\displaystyle \chi\) \(\displaystyle \sigma\)
 
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Nov 2008
461
169
Hello chisigma.

Thank you so much!

Rapha