Which one is the correct statement about the function $f(x)=\sin 2x$

Question

Accepted Answer

$f(x)$ is increasing in $\left( 0,\frac{\pi }{4} \right)$ and decreasing in $\left( \frac{\pi }{4},\frac{\pi }{2} \right)$

Answer

$f(x)$ is increasing in $\left( 0,\frac{\pi }{2} \right)$ and decreasing in $\left( \frac{\pi }{2},\pi \right)$

Answer

$f(x)$ is decreasing in $\left( 0,\frac{\pi }{2} \right)$ and increasing in $\left( \frac{\pi }{2},\pi \right)$

Answer

The statements (a), (b) and (c) are all correct

differentiation