Differentiation and its Applications
CBSE · Class 12 · Applied Mathematics
Complete topic list for Differentiation and its Applications in CBSE Class 12 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Differentiation and its Applications
Differentiation of Implicit Functions
- Implicit functions are equations where y cannot be expressed explicitly as y = f(x)
- We differentiate both sides of the equation with respect to x, treating y as a function of x
- Use chain rule: d/dx(y²) = 2y·dy/dx
Differentiation of Parametric Functions
- Parametric equations express both x and y in terms of a parameter t: x = f(t), y = g(t)
- dy/dx = (dy/dt)/(dx/dt), provided dx/dt ≠ 0
- Common parametric forms include circles, parabolas, and cycloids
Logarithmic Differentiation
- Used for functions of the form [f(x)]^g(x) where both base and exponent contain x
- Take natural logarithm of both sides before differentiating
- Apply product rule to log y = g(x)·log f(x)
Second and Higher Order Derivatives
- Second derivative: d²y/dx² = d/dx(dy/dx)
- Third derivative: d³y/dx³ = d/dx(d²y/dx²)
- Higher order derivatives: d^n y/dx^n = f^(n)(x)
Key Concepts
Get detailed syllabus for Differentiation and its Applications
Super Tutor gives you interactive content for every chapter of CBSE Class 12 Applied Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Differentiation and its Applications for CBSE Class 12 Applied Mathematics?
Differentiation and its Applications covers several key topics that are frequently asked in CBSE 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 and its Applications — CBSE Class 12 Applied Mathematics?
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
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Differentiation and its Applications
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually