2. Suppose f(x) is defned on (a,b) and continuous at c, where a

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2. Suppose f(x) is defned on (a,b) and continuous at c, where a

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2 Suppose F X Is Defned On A B And Continuous At C Where A C B A 20 Marks Prove That If F Is Differentiable 1
2 Suppose F X Is Defned On A B And Continuous At C Where A C B A 20 Marks Prove That If F Is Differentiable 1 (47.85 KiB) Viewed 27 times
2. Suppose f(x) is defned on (a,b) and continuous at c, where a <c<b. (a) (20 marks) Prove that if |f| is differentiable at c, then f is differentiable at c. (Hint: Consider the cases f(c) > 0, f(c) < 0, and f(c) = 0 separately.) (b) (10 marks) Is the condition that f is continuous at c necessary in (a)? Justify your answer. =
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