Mathematics Differential Calculus Applications of Derivatives

find the interval in which f(x) = \(\sqrt {1 + \sin 2{\rm{x}}} \) , where x ∈ [0, \(\frac{\pi }{2}\)) is strictly increasing?

1
[0, \(\frac{\pi }{4}\))
2
\(\left[ {\frac{\pi }{4},\pi } \right)\)
3
\(\left[ {\frac{\pi }{2},\pi } \right)\)
4
None 

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