What is the nature of the function $f(x) = \sin x$ at $x = 2\pi / 3$?

  • A
    Monotonically decreasing
  • B
    Monotonically increasing
  • C
    Neither monotonically increasing nor decreasing
  • D
    None of these

Explore More

Similar Questions

Let $f(x) = \sin^4 x + \cos^4 x$. Then $f$ is an increasing function in the interval:

If $f(x) = \log(1+x) - \frac{2x}{2+x}$,then $f(x)$ is increasing in

If $f(x) = x \cdot e^{x(1-x)}$,then $f(x)$ is

If $f(x) = \frac{x}{\log x}$,then $f(x)$ is increasing in

The derivative of the function $f(x) = \cos^4 x + \sin^4 x$ for $0 \le x \le 2\pi$ is positive for:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo