Assertion (A): The function f(x) = |x - 6|( x) is differentiable in R - 6 . Reason (R)…
Mathematics · Class 12 · CBSE — Continuity and Differentiability
Assertion (A): The function \(f(x) = |x - 6|(\cos x)\) is differentiable in \(\mathbb{R} - \{6\}\).
Reason (R): If a function \(f\) is continuous at a point \(c\), then it is also differentiable at that point.
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(C) (A) is true but (R) is false.
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