Question: Hint: Consider the function h(x) = f(x)(x-a)(x - b). 33. Suppose f.g: [a, b] R is differentiable on its domain, and g' # 0.

Hint: Consider the function h(x) = f(x)(x-a)(x - b). 33. Suppose f.g:

Hint: Consider the function h(x) = f(x)(x-a)(x - b). 33. Suppose f.g: [a, b] R is differentiable on its domain, and g' # 0. Show that 3c (a, b), such that f(a) f(c) f'(c) g(c)-g(b) g'(c) (b)).

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