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Differentiation

Maharashtra Board · Class 12 · Mathematics & Statistics - Science

Complete topic list for Differentiation in Maharashtra Board Class 12 Mathematics & Statistics - Science. Key concepts, sub-topics, and what to focus on for board exams.

43 questions20 flashcards5 concepts

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4 Topics · Maharashtra Board Class 12 Mathematics & Statistics - Science

Topics in Differentiation

1

Derivatives of Composite Functions (Chain Rule)

  • If y = f(u) and u = g(x), then dy/dx = (dy/du) × (du/dx)
  • Chain rule is essential for differentiating nested functions
  • Always identify the outer and inner functions clearly
2

Derivatives of Inverse Functions

  • If y = f(x) and x = f⁻¹(y), then dx/dy = 1/(dy/dx)
  • Derivative of inverse function is reciprocal of derivative of original function
  • Domain and range considerations are crucial
3

Logarithmic Differentiation

  • Take natural log of both sides, then differentiate
  • Useful for functions with products, quotients, and powers
  • Essential for functions of the form y = [f(x)]^g(x)
4

Derivatives of Implicit Functions

  • Differentiate both sides with respect to x, treating y as function of x
  • Use dy/dx notation consistently throughout
  • Collect all terms containing dy/dx on one side

Key Concepts

For y = f(g(x))The derivative f'(a) represents the slopeIf y = f(x) and xUsed for functions of the formUsed when y is not explicitly

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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