AP EAMCET · Maths · Continuity and Differentiability
Assertion (A): If \(\mathrm{f}(\mathrm{x})\) is not continuous at \(\mathrm{x}=\mathrm{a}\), then it is not differentiable at \(x=a\)
Reason (R): If \(f(x)\) is differentiable at a point, then it is continuous at that point
- A (A) and (R) are both true, (R) is correct explanation of (A)
- B (A) and (R) are both true, (R) is not correct explanation of (A)
- C (A) is true, (R) is false
- D (A) is false, ( \(R\) ) is true
Answer & Solution
Correct Answer
(A) (A) and (R) are both true, (R) is correct explanation of (A)
Step-by-step Solution
Detailed explanation
If \(f(x)\) is a differentiable function then \(f(x)\) will be also continuous at that point necessarily. Hence reason ' \(\mathrm{R}\) ' is correct. Above concept also means that if \(f(x)\) is not continuous at any point \(x=a\) then \(f(x)\) will not be differentiable at…
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