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let f and g be differentiable functions such that f(3)=5, g(3)=7, f'(3)=6, f'(7)=-4, g'(3)=-3 g'(5)=2. if h(x)=f[g(x)] the h'(3)=
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So?
If you know h(x)=f[g(x)], then you can use the chain rule to find h'(x)
the other part of your question for some reason did appear lol OP got crazy
yes like @jim_thompson5910 said take h'(x) using Chain Rule
h'(x)=g'(x).f'(g(x))
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that's Chain Rule! not find h'(3) you have everything you need
so h'(3)=(-3)(6)(7)
h'(x)=g'(x).f'(g(x)) h'(3)=g'(3).f'(g(3)) .. replace every x with 3 What is g(3) equal to?
-3
no you're confusing g'(3) with g(3)
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