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Syllabus

Differentiation — Syllabus

ICSE · Class 11 · Mathematics

What Differentiation covers in ICSE Class 11 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 11 Mathematics syllabus.

60 questions32 flashcards21 formulas & key relations5 concepts

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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.
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4 Topics · ICSE Class 11 Mathematics · 2026-27

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.
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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.
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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.
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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

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Frequently Asked Questions

What are the important topics in Differentiation for ICSE Class 11 Mathematics?
Key topics in Differentiation include Differentiability at a Point, First Principle and Meaning of Derivative, Basic Rules of Differentiation, Standard Derivatives and Special Results. Study these first, then practise questions on each for Class 11 exams.
How should I revise Differentiation for Class 11 exams?
Learn the core ideas first, then work through the 60 practice questions on Differentiation. Revise 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.

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All ICSE Class 11 Mathematics Syllabus

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