Skip to main content
Super TutorResources
Chapter 15 of 18
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Differentiation

ICSE · Class 11 · Mathematics

Complete topic list for Differentiation in ICSE Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

60 questions32 flashcards5 concepts

Interactive on Super Tutor

Studying Differentiation? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 11 students started this chapter today

A graph of a function y=f(x) with a tangent line at a point (x, y), illustrating dy/dx as the slope of the tangent.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started
4 Topics · ICSE Class 11 Mathematics

Topics in Differentiation

1

1. Differentiability at a Point

  • A function is differentiable at a point when the derivative exists finitely there.
  • A function is differentiable at x = c if the right-hand and left-hand limits both exist finitely and are equal.
  • A function is non-differentiable at x = c if it is not differentiable at x = c.
2

2. First Principle and Meaning of Derivative

  • The first principle defines derivative using a small increment h.
  • The derivative of a function at x is written as f'(x).
  • dy/dx is another notation for derivative of y with respect to x.
3

3. Basic Rules of Differentiation

  • The derivative of a constant is 0.
  • The derivative of x^n is n x^(n-1).
  • The derivative rules for sum, difference, scalar multiple, product, power of function, and quotient are essential for fast calculation.
4

4. Standard Derivatives and Special Results

  • The derivative of sin x is cos x.
  • The derivative of cos x is -sin x.
  • The derivative of tan x is sec^2 x.

Key Concepts

Central concept: Differentiation as the study of how a function changes and how its derivative is defined, interpreted, and calculated

Differentiable function at a pointNon-differentiable functionFirst principle of derivativeGeometrical meaning of derivativePhysical meaning of derivativeBasic rules of differentiationDerivatives of algebraic functionsDerivatives of trigonometric functions

Frequently Asked Questions

What are the important topics in Differentiation for ICSE Class 11 Mathematics?
Key topics in Differentiation include Differentiation Concepts Overview, Differentiation Concepts Overview, Differentiation Concepts Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Differentiation — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 60 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Differentiation

All 18 chapters — ICSE Class 11 Mathematics Syllabus

For serious students

Get the full Differentiation chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 11 Mathematics.

Try Super Tutor Free
Try the full chapter — Free