Chapter 5 of 16
Revision Notes
Differentiation — Revision Notes
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
Differentiation revision notes for Maharashtra Board Class 12 Mathematics & Statistics -Commerce: 4 topics in quick points.
42 questions20 flashcards5 formulas & key relations5 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 revision notes and more.
Free trial, no card needed.
Key Topics to Revise
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
Get complete notes with diagrams and examples
Full NotesKey Concepts
When differentiating y = f(g(x))If y = f(x) hasFor functions involving productsWhen variables cannot be separated (likeWhen both x and y
Frequently 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.
More resources for Differentiation
For serious students
Get the full Differentiation chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 12 Mathematics & Statistics -Commerce. Free to start, no card needed.