Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Differential Calculus Applications of Derivatives
Which one of the following is correct in respect of the function f(x) = x sin x + cos x + \(\frac{1}{2}\) cos2 x?
1
It is increasing in the interval \(\left( {0,\frac{\pi }{2}} \right)\)
2
It remains constant in the interval \(\left( {0,\frac{\pi }{2}} \right)\)
3
it is decreasing in the interval \(\left( {0,\frac{\pi }{2}} \right)\)
4
It is decreasing in the interval \(\left( {\frac{\pi }{4},\frac{\pi }{2}} \right)\)