Question: diff(int(f(x,t), t=0..x),x)

diff(int(1/(1+exp(1/(x-t))), t = 0 .. x), x);
              diff(int(1/(1+exp(1/(x-t))), t = 0 .. x), t)

simplify(%);
                                  0

diff returns a derivative wrt the bound variable t.

This is probably tricky because diff needs to evaluate the limit of f(x, t) at t=x, and it must distinguish between the case of the left limit (x>0) and of the right limit (x<0).

 

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