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Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability

Which of the following statements are true?

Options

  1. AIf _ x a f(x)-f(a) x-a exists, then f is differentiable at a
  2. BIf f is continuous at a , then f is differentiable at a .
  3. CIf _ x a f(x) exists, then f is differentiable at a .
  4. DIf f is differentiable at a , then _ x a f(x)=f(a) .

Correct answer

D. If f is differentiable at a , then _ x a f(x)=f(a) .

Step-by-step solution

Solution not Available

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