Differentiation and its Applications
CBSE · Class 12 · Applied Mathematics
Practice quiz for Differentiation and its Applications — CBSE Class 12 Applied Mathematics. MCQs and questions with answers to test your preparation.
Interactive on Super Tutor
Studying Differentiation and its Applications? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.
1,000+ Class 12 students started this chapter today
Quick Quiz: Differentiation and its Applications
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
Find dy/dx if y = 3x² + 5x - 7
If x² + y² = 25, find dy/dx using implicit differentiation
Find the derivative of y = e^(2x)
If x = t² and y = 2t, find dy/dx
Sample Questions
Find the second derivative of y = x³ - 6x² + 9x
Show answer
6x - 12
First derivative: dy/dx = 3x² - 12x + 9. Second derivative: d²y/dx² = 6x - 12.
If the cost function is C(x) = x² + 10x + 50, find the marginal cost when x = 5
Show answer
20
Marginal cost = dC/dx = 2x + 10. At x = 5: MC = 2(5) + 10 = 20.
Find the slope of the tangent to y = x² + 3x at the point (2, 10)
Show answer
7
Slope of tangent = dy/dx = 2x + 3. At x = 2: slope = 2(2) + 3 = 7.
Which of the following are true for the function f(x) = x³ - 3x? (Select all correct answers)
Show answer
f'(x) = 3x² - 3, f'(1) = 0, f'(-1) = 0, f has critical points at x = ±1
f'(x) = 3x² - 3. Setting f'(x) = 0: 3x² - 3 = 0, so x² = 1, giving x = ±1. At these points, f'(1) = f'(-1) = 0. At x = 0, f'(0) = -3, not 3.
+45 more questions available
Practice AllFrequently Asked Questions
What are the important topics in Differentiation and its Applications for CBSE Class 12 Applied Mathematics?
How to score full marks in Differentiation and its Applications — CBSE Class 12 Applied Mathematics?
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
Syllabus
What topics to cover
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
Concept Maps
See how topics connect visually
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Differentiation and its Applications chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 12 Applied Mathematics.