AP EAMCET · Maths · Application of Derivatives
Let \(f(x)=\operatorname{Max}\{\cos x, \sin x, 0\}\). If the number of points at which \(f(x)\) is not differentiable in \((0,2024 \pi)\) is \(1012 k\), then \(\mathrm{k}=\)
- A \(3 / 2\)
- B 6
- C 3
- D 2
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
\(\because f(x)=\max \{\cos x, \sin x, 0\}\) The bold curve in the above figure is the graph of \(f(x)\). From figure, it is clear that \(f(x)\) is periodic. \(f(x)\) has 3 sharp edge between 0 to \(2 \pi\). \(\therefore f(x)\) is not differentiable at 3 points between 0 to…
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