Re: Derivative of multivariable function



On 04.09.2007 07:03, Jennis.kr@xxxxxxxxx wrote:
Hi,
I little bit stuck to solve those derivatives of the integrals.
the question is :
to find f' when g:R->R continuous.
1. f(x,y)=intgeral from a to x+y of g
2. f(x,y)=integral from a to (x multiply y) of g
3. f(x,y,z)=integral from (base x with exponent y) to [sin(x sin(y sin
z))] of g.
I would be grateful if you can help me .
Thanks.

Hint: Let G(z)= integral from a to z of g. Then what is G'? Thus the function in the first problem reads f(x,y) = G(x+y) ...

HTH.

J.
.



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