YESPYQ Start Practice
🛠️ JEE➗ Maths

Let \(f(x)=3\left({\cos }^{4}x−2{\cos }^{2}x+1\right)+10{\sin }^{3}x+6{\sin }^{2}x−3,\) \(x\in \left[−\frac{x}{6},\frac{…

Q1

Let \(f(x)=3\left({\cos }^{4}x−2{\cos }^{2}x+1\right)+10{\sin }^{3}x+6{\sin }^{2}x−3,\) \(x\in \left[−\frac{x}{6},\frac{x}{2}\right]\). Then, \(f\) is:

[JEE Main 2021, 25 Jul (Shift 1)]

a

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

b

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

c

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

d

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

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Application of Derivatives, or browse the full JEE question bank.

See all questions on Application of Derivatives →