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Problem 5: (10 pts) If f is defined on an open set containing co, the symmetric derivative of f at To is defined as f*(zo)

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Problem 5: (10 pts) If f is defined on an open set containing co, the symmetric derivative of f at To is defined as f*(zo) = lim froth) - f(ro - h) 2h Prove that if f'(ro) exists, then so does f*(r). Note: More problems will be added by the end of Thursday, after our last meeting of the week. Is the converse true? (Hint: examine the absolute value function: f(x) =

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