MCQ

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

• A
  $f(x)$ is increasing in $\left( {0,{\pi \over 2}} \right)$ and decreasing in $\left( {{\pi \over 2},\pi } \right)$
• B
  $f(x)$ is decreasing in $\left( {0,{\pi \over 2}} \right)$ and increasing in $\left( {{\pi \over 2},\pi } \right)$
• ✓
  $f(x)$ is increasing in $\left( {0,{\pi \over 4}} \right)$ and decreasing in $\left( {{\pi \over 4},{\pi \over 2}} \right)$
• D
  The statements $(a), (b)$ and  $(c) $ are all correct