Doubtclip is an AI tutor that turns any homework or exam doubt into a step-by-step whiteboard video lesson with diagrams, formulas, and voice explanation.

Which subjects and exams does it support?

It supports Physics, Chemistry, Mathematics/Calculus and related STEM doubts for school boards, JEE, NEET, and global high-school / undergrad practice.

How do I get a video solution?

Upload a photo of the question or paste the text, sign in, and Doubtclip generates a whiteboard-style explanation video you can watch and share.

Is Doubtclip available worldwide?

Yes. Doubtclip is a web app for students globally. Lessons are available in English and Hinglish.

Calculus

JEE Main level, single correct, medium

4 of 4

Question 4 of 4

The function $f(x) = |x|$ at $x=0$ is:

Show answer and solution

Answer: (D) Continuous but not differentiable

Left hand derivative is

-1

, right hand derivative is

+1

. Hence it is continuous everywhere but not differentiable at

x=0

JEE Main question paper PDF

Open a shift to read the full paper on this page, or download it.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Explain it as a whiteboard videoStep-by-step, in Hinglish or English. Your first video needs no login.Solved it on paper but got it wrong?Upload a photo of your working. Mistake Doctor marks the exact line that broke.

See it move: Graph transformations simulationDrag the sliders and watch the numbers in this question change.

More Mathematics practice

CalculusThe value of $\lim_{x \to 0} \frac{e^{2x} - 1}{\sin 3x}$ is equal to:
CalculusThe integrating factor of the differential equation $\frac{dy}{dx} + \frac{2}{x} y = x^2$ ( $x > 0$ ) is:
CalculusIf $f(x) = 2x + 3$ is a bijective function from $\mathbb{R} \to \mathbb{R}$ , its inverse $f^{-1}(x)$ is:
Integral CalculusThe area (in sq. units) bounded by the parabola $y = x^2$ and the straight line $y = 2x$ is:
Matrices & DeterminantsIf the matrix $A = \begin{pmatrix} 2 & k \\ 4 & 6 \end{pmatrix}$ is singular, then the value of $k$ is:
Vectors & 3D GeometryIf vectors $\vec{a} = \hat{i} + \hat{j} + \hat{k}$ , $\vec{b} = \hat{i} - \hat{j} + 2\hat{k}$ and $\vec{c} = x\hat{i} + \hat{j} - \hat{k}$ are coplanar, then $x$ is equal to:

JEE Main Mathematics practice question on Calculus, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The function f(x)=∣x∣f(x) = |x|f(x)=∣x∣ at x=0x=0x=0 is:

JEE Main question paper PDF

More Mathematics practice

The function $f(x) = |x|$ at $x=0$ is: