Monotonicity_JEE MAIN_2021_25-July-2021_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN_2021_

25-July-2021_S1

Question

Let $f(x)=3 \sin ^4 x+10 \sin ^3 x+6 \sin ^2 x-3, x \in\left[-\frac{\pi}{6}, \frac{\pi}{2}\right]$. Then, $f$ is -

Select the correct option:

increasing in $\left(-\frac{\pi}{6}, \frac{\pi}{2}\right)$

decreasing in $\left(0, \frac{\pi}{2}\right)$

increasing in $\left(-\frac{\pi}{6}, 0\right)$

decreasing in $\left(-\frac{\pi}{6}, 0\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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