- #1

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let f(g(x)) = h(x)*g(x).

I want to calculate df/dx.

If I use the product rule, I get g(x)h'(x) + h(x)g'x).

Now if I use the composition/chain rule, I get

df/dx = df/dg * dg/dx = h(x) * g'(x) which is different.

I guess my df/dg = h is wrong, but I can't see what it should be.

Any help is welcome:-)