MCQ
The function $y\, = \,|\sin x|$ is continuous for any $x$ but it is not differentiable at
- A$x = 0$ only
- B$x = \pi $ only
- C$x = k\,\pi \,(k$ is an integer) only
- ✓$x = 0$ and $x = k\,\pi \,(k$ is an integer)
✓
Answer
Correct option: D.
$x = 0$ and $x = k\,\pi \,(k$ is an integer)
d
(d) It can be easily seen from the graph of $f(x) = \,|\sin x|$ that it is every where continuous but not differentiable at integer multiples of $\pi $ and at $x = 0$.
(d) It can be easily seen from the graph of $f(x) = \,|\sin x|$ that it is every where continuous but not differentiable at integer multiples of $\pi $ and at $x = 0$.
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