Suppose f is an off function that is differentiable on R. Prove that for every bgt;0, there exists a c E (-b,b) such that f'(c)=f(b)/b. Fully…

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Suppose f is an off function that is differentiable on R. Prove that for every b>0, there exists a c E (-b,b) such that f'(c)=f(b)/b. Fully justify your reasoning and state any theorems used.

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