Let f(x)=2 ^ 3 x-3 ^ 2 x+12 x+5,0 x 2 . Then, f (x) is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=2 \sin ^{3} x-3 \sin ^{2} x+12 \sin x+5,0 \leq x \leq \frac{\pi}{2} .\) Then, f (x) is
- decreasing on \([0, \pi / 2]\)
- increasing on \([0, \pi / 2]\)
- increasing on \([0, \pi / 4]\) and decreasing on \([\pi / 4, \pi / 2]\)
- none of these
Answer
(B) increasing on [0, / 2]
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