Application of Derivatives: Class 12 Mathematics (CBSE) important questions and practice
Application of Derivatives is chapter 6 of 13 in CBSE Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Rate of change of quantities
- Increasing and decreasing functions
- Maxima and minima: first and second derivative tests
- Absolute maximum and minimum on a closed interval
- Word problems: maximum area, volume, minimum cost and surface area
What examiners usually ask
- Find the intervals in which f(x) = 2x^3 - 3x^2 - 36x + 7 is strictly increasing or decreasing
- Show that the right circular cylinder of given surface area and maximum volume has height equal to the diameter of its base
- A ladder 5 m long leans against a wall; its bottom is pulled away at 2 cm/s; how fast is its height decreasing when the foot is 4 m from the wall?
Exam tip
In maxima-minima word problems always express the quantity in one variable, verify with the second derivative and state the conclusion in words; tangents and normals are removed from the rationalised CBSE syllabus, so prioritise optimisation problems.
Application of Derivatives on other boards and exams
Frequently asked questions
What are the important questions from Application of Derivatives for CBSE Class 12?
The question types listed above repeat most often in CBSE Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Application of Derivatives in the CBSE Class 12 Mathematics syllabus?
Yes. Application of Derivatives is part of the current CBSE Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Application of Derivatives MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.