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

Posted: Thu May 05, 2022 6:35 pm

by answerhappygod

2 Suppose F X Is Defned On A B And Continuous At C Where A C B A 20 Marks Prove That If If Is Differentiable 1 (9.85 KiB) Viewed 30 times

2. Suppose f(x) is defned on (a, b) and continuous at c, where a <c<b. (a) (20 marks) Prove that if If 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 e necessary in (a)? Justify your answer.