Chapter 5 of 16
Syllabus
Differentiation — Syllabus
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
What Differentiation covers in Maharashtra Board Class 12 Mathematics & Statistics -Commerce: 4 topics, for the 2026-27 session.
42 questions20 flashcards5 formulas & key relations5 concepts
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4 Topics · Maharashtra Board Class 12 Mathematics & Statistics -Commerce · 2026-27
Topics in Differentiation
1
Derivative of Composite Functions (Chain Rule)
- Chain rule is used when we have a function within another function (composite functions)
- If y = f(u) and u = g(x), then dy/dx = (dy/du) × (du/dx)
- Identify the outer function and inner function correctly
2
Derivative of Inverse Functions
- Used to find rate of change of demand with respect to price
- If y = f(x) and x = f⁻¹(y), then dx/dy = 1/(dy/dx)
- The original function must be one-one and onto
3
Logarithmic Differentiation
- Used for functions with variable bases and exponents
- Also used for products and quotients of multiple functions
- Take natural log of both sides first
4
Implicit Differentiation
- Used when y cannot be expressed explicitly as a function of x
- Differentiate both sides with respect to x
- Use chain rule for terms involving y
Key Concepts
When differentiating y = f(g(x))If y = f(x) hasFor functions involving productsWhen variables cannot be separated (likeWhen both x and y
Work through every topic in Differentiation with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Differentiation for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Key topics in Differentiation include Derivative of Composite Functions (Chain Rule), Derivative of Inverse Functions, Logarithmic Differentiation, Implicit Differentiation. Study these first, then practise questions on each for the Maharashtra Board Class 12 board exam.
How should I revise Differentiation for the Maharashtra Board Class 12 board exam?
Learn the core ideas first, then work through the 42 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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