Question 4 In the following question, show ALL your steps, DO NOT use any differentiation rules. Let f(x)=x- +5. (a) Using the Definition of the Derivative from page 125, determine f'(x). DEFINITION The derivative of the function f(x) with respect to the variable x is the function f whose value at x is (Definition of Derivative from page 125) f(x + h) – f(x) f'a) = lim provided the limit exists. (b) Using the Alternative Formula for the Derivative from page 126, determine f'(x) again (you should get the same answer as in (a) ). Alternative Formula for the Derivative (Alternative Formula for the Derivative from page 126) f(2) - fx) s') = lim

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