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Math Help - Differentiating functions with integrals in them...?

  1. #1
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    Differentiating functions with integrals in them...?

    f(x,t)=\int_{0}^{t}\frac{1}{1-s}dx

    s is a dummy for t
    x is a function of t

    how can I find the partial derivatives? I think f_{x}(x,t)=\frac{1}{1-t} - is this right?

    But I have no idea how to find f_{t}(x,t)

    Thanks for any help
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  2. #2
    MHF Contributor chisigma's Avatar
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    In the expression...

    \int_{0}^{t} \frac{dx}{1-s} (1)

    ... x is the integration variable, so that the (1) i function of t and s, not of x that 'disappears' in computing integral...

    Kind regards

    \chi \sigma
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