Let $f(x) = |x|$. Then which of the following is true?

  • A
    $f'(0) = 0$
  • B
    $f(x)$ has a maximum at $x = 0$.
  • C
    $f(x)$ has a minimum at $x = 0$.
  • D
    $f(x)$ has both a maximum and a minimum.

Explore More

Similar Questions

Which of the following functions is differentiable at $x = 0$?

If $f(x) = \begin{cases} e^x + a & \text{for } x < 0 \\ x - 3 & \text{for } x \geqslant 0 \end{cases}$ is differentiable at $x = 0$,then $a$ equals:

The function that is not differentiable at $x=1$ is

Let $f(x) = \begin{cases} -1, & -2 \le x < 0 \\ x^2 - 1, & 0 \le x \le 2 \end{cases}$ and $g(x) = |f(x)| + f(|x|)$. Then,in the interval $(-2, 2)$,$g$ is

The set of points where $f(x) = \frac{x}{4+|x|}$ is differentiable is

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