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Chapter test · Mathematics · Class 11

Limits, Continuity and Differentiability

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 2 key concepts: Limits and Derivatives from first principles and rules.

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Questions
Up to 25 — 20 MCQ + 5 numerical
Time
60 minutes, fixed
Marking
JEE Main: +4 / −1 on A, +4 / 0 on B
Class
Class 11 · Mathematics
Report
Concept breakdown + cognitive demand, instantly

What this test covers

2 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

  1. 1
    Limits
    • Evaluates limits using standard results, rationalisation and L’Hopital-free techniques.Apply & Analyse
  2. 2
    Derivatives from first principles and rules
    • Differentiates using first principles and the sum/product/quotient rules.Apply & Analyse
Level of thinking demanded2 learning objectives
Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

  • CBSE
    Limits and Derivatives · Continuity and Differentiability · Application of Derivatives
    ✓ in your syllabus
  • Gujarat (GSEB)
    Limits and Derivatives · Continuity and Differentiability · Application of Derivatives
    ✓ in your syllabus
  • Madhya Pradesh (MPBSE)
    Limits and Derivatives · Continuity and Differentiability · Application of Derivatives
    ✓ in your syllabus
  • Rajasthan (RBSE)
    Limits and Derivatives · Continuity and Differentiability · Application of Derivatives
    ✓ in your syllabus
  • Bihar (BSEB)
    Unit-V Elements of Calculus · Unit-III Calculus — Differentiability · Unit-III Calculus — Applications of Derivatives
    ✓ in your syllabus
  • Uttar Pradesh (UPMSP)
    कलन - सीमा तथा अवकलज / Limits and Derivatives · कलन - सांतत्य तथा अवकलनीयता / Continuity and Differentiability · कलन - अवकलनों के अनुप्रयोग / Applications of Derivatives
    ✓ in your syllabus
  • ISC (CISCE)
    Calculus - Limits and Derivatives · Calculus - Continuity, Differentiability and Differentiation · Calculus - Applications of Derivatives
    ✓ in your syllabus
  • Cambridge International A Level
    Differentiation (P1 · P3)
    ✓ in your syllabus
  • IB Diploma Programme (HL)
    SL 5.1 Introduction to the concept of a limit (Topic 5: Calculus) · SL 5.2 Increasing and decreasing functions (Topic 5: Calculus) · SL 5.3 Derivative of ax^n; differentiation from first principles (Topic 5: Calculus) · SL 5.4 Tangents and normals at a given point (Topic 5: Calculus) · SL 5.6 Derivatives of x^n, sin, cos, e^x, ln x; chain, product, quotient rules (Topic 5: Calculus) · SL 5.7 The second derivative (Topic 5: Calculus) · SL 5.8 Local maximum and minimum points; optimisation (Topic 5: Calculus) · SL 5.9 Kinematic problems: displacement, velocity, acceleration (Topic 5: Calculus) · AHL 5.12 Continuity and differentiability; higher derivatives (Topic 5: Calculus) · AHL 5.13 Limits and L'Hopital's rule (Topic 5: Calculus) · AHL 5.14 Implicit differentiation; related rates (Topic 5: Calculus) · AHL 5.15 Derivatives of tan, sec, cosec, cot, a^x, log_a x, arcsin, arccos, arctan (Topic 5: Calculus)
    ✓ in your syllabus
See all chapters in your board’s names →

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Related Class 11 Mathematics chapters

Sets, Relations and FunctionsComplex Numbers and Quadratic EquationsPermutations and CombinationsBinomial TheoremSequences and SeriesCoordinate Geometry

Good to know

About this chapter test

How is the test scored?
Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.
Which class is Limits, Continuity and Differentiability in?
Limits, Continuity and Differentiability sits in Class 11 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.
Can I take it more than once?
Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.
Is it free?
Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

This chapter’s bank is still being built.

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