Differentiation of composite function - integral form
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(See attached file for full problem description with proper symbols)
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Assume that f is continuous on [a,b], g is differentiable on [c,d], g([c,d]) [a,b] and
F(x) =
For each x [c,d].
Prove that
F'(x)=f(g(x))g'(x)
For each x (c,d).
https://brainmass.com/math/derivatives/differentiation-composite-function-integral-form-86718
Solution Preview
Given that f is continuous on [a,b], it follows that
dF = dg * f(g) ...
Solution Summary
Differentiation of composite functions and integral forms are determined.
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