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Differentiation

Maharashtra Board · Class 12 · Mathematics & Statistics - Science

Quick revision notes for Differentiation — Maharashtra Board Class 12 Mathematics & Statistics - Science. Key concepts, formulas, and definitions for last-minute revision.

42 questions20 flashcards5 concepts

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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

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Full Notes

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

Frequently Asked Questions

What are the important topics in Differentiation for Maharashtra Board Class 12 Mathematics & Statistics - Science?
Differentiation covers several key topics that are frequently asked in Maharashtra Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Differentiation — Maharashtra Board Class 12 Mathematics & Statistics - Science?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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