Let f ´ (sin x) f ´´ (sin x) > 0 x (0, 2 ) Now consider a function g (x) = f (sin x) + f…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let f ´ (sin x) < 0 and f ´´ (sin x) > 0 \(\forall \mathrm{x} \in\left(0, \frac{\pi}{2}\right)\)
Now consider a function g (x) = f (sin x) + f (cos x)
g (x) increase if x belongs to
- \(\left(0, \frac{\pi}{4}\right)\)
- \(\left(\frac{\pi}{4}, \frac{\pi}{2}\right)\)
- \(\left(\frac{\pi}{8}, \frac{\pi}{3}\right)\)
- \(\left(\frac{\pi}{6}, \frac{\pi}{3}\right)\)
Answer
(B) ( 4 , 2 )
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