Suppose you have three functions, f1(x),f2(y),f3(z). Consider the following expression: H=\int_{0}^{f1(x)}[G(f2(ξ))G(f3(ξ))dξ, where G is some continuously differentiable function. What is dH/dz? is it zero? or should I apply the chain rule dH/dz=(dH/df3)(df3/dz), and conclude that dH/dz is not zero because dH/df3 and df2/dz are both nonzero (known data)?

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\[H=\int_{0}^{f1(x)}[G(f2(ξ))G(f3(ξ))dξ\]?

yup, that's the expression to which I want to compute dH/dz...

any help?

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