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If inta^(x) f(t) dt - int0^(y) g(t) dt =...

If `int_a^(x) f(t) dt - int_0^(y) g(t) dt = b` then dy/dx at `(x_(0),y_(0))` is

A

`f(x_(0))/g(y_(0))`

B

`g(x_(0))/f(y_(0))`

C

`g(x_(0))-f(y_(0))`

D

`f(x_(0))-g(y_(0))`

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The correct Answer is:
A
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
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  6. Let f(x) = int2^(x) (dt)/(sqrt(1+t^(4)))and g be the inverse of f. The...

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