JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(a \in Z\) and \([t]\) be the greatest integer \(\leq t\). Then the number of points, where the function \(f(x)=[a\) \(+13 \sin x], x \in(0, \pi)\) is not differentiable, is \(........\).
- A \(24\)
- B \(23\)
- C \(22\)
- D \(25\)
Answer & Solution
Correct Answer
(D) \(25\)
Step-by-step Solution
Detailed explanation
\(f(x)=[a+13 \sin x], x \in(0, \pi)\) For \([n \sin x ]\); Total number of non differentiable points are \(=2 n-1\) for \(x \in(0, \pi)\) So number of non differentiable points for \([13 \sin x] \Rightarrow 25\) Points
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