Question

The function $y=|2sinx|$ is continuous for any $x$ but it is not differentiable at

• A. only $x=0$
• B. only $x=n$
• C. only $x=\frac{\pi }{2}$
• D. $x=k\pi (k$ is an integer)

Answer 1

Answer: (D)

The graph of $y=|2\sin x|$ is given below:

It can be easily seen from the graph of $f(x)=|2\sin x|$, it is continuous everywhere but not differentiable at integer multiples of $\pi$.