Krishna Shukla posted an Question
July 25, 2021 • 14:13 pm 30 points
  • IIT JAM
  • Mathematics (MA)

What is the difference between differentiability of f(x) ant x=a and continuity of f'(x) at x=a please explain thoroughly. how the continuity of f'(x) affects .

what is the difference between differentiability of f(x) ant x=a and continuity of f'(x) at x=a please explain thoroughly.

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    Deepak singh 1 best-answer

    Refer attached

    cropped185014648763259053.jpg
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    it was not my question i was asking about difference between continuity of f'(x) and derivative of f(x) and does continuity affects differntiability of f(x)

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    Yes it affects , first of all we have check differentiability of f(x) . If it is differentiable then we check continuity of f'(x) . And if f(x) is not differentiable implies f'(x) is not continuos

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