Let f (x) and g(x) be differentiable functions in (a, continuous at a and b, and g(x) #0 in [a, b]. Then prove th g(a) f(b)-f(a)g(b) _ (b-a) g(a) g (b) for at least o = g(c) f'(c) - f(c) g'(c) (ale))²

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A: Hi, you can find the answer in the handwritten form.  Given f(a)=-2  f(b)= 2

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Q: 3. Define f(x) so that S(2) = {ap(). f(x) = 0, |피 1 (a) Explain why the function f(x) must be…

A: As per our guidelines we can answer only 3 subparts. please ask others seperately.