Skip to main content
Super TutorResources
Chapter 20 of 31
Syllabus

Applications Of Derivatives – Maxima and Minima — Syllabus

Telangana Open School (TOSS) · Class 12 · Mathematics

What Applications Of Derivatives – Maxima and Minima covers in Telangana Open School (TOSS) Class 12 Mathematics: 3 topics, for the 2026-27 session.

60 questions30 flashcards7 formulas & key relations4 concepts

Interactive on Super Tutor

Studying Applications Of Derivatives – Maxima and Minima? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

Free trial, no card needed.

3 Topics · Telangana Open School (TOSS) Class 12 Mathematics · 2026-27

Topics in Applications Of Derivatives – Maxima and Minima

1

Increasing and Decreasing Functions

  • A function is increasing on an interval if its derivative is positive throughout that interval.
  • A function is decreasing on an interval if its derivative is negative throughout that interval.
  • If \( f'(x) > 0 \) for all \( x \) in \( (a, b) \), then \( f(x) \) is increasing on \( [a, b] \).
2

Maxima and Minima

  • Maximum and minimum values occur at critical points where \( f'(x) = 0 \) or where the derivative does not exist.
  • Local maxima occur where the derivative changes from positive to negative.
  • Local minima occur where the derivative changes from negative to positive.
3

Applications of Maxima and Minima

  • Real-world problems like maximizing area, volume, or profit, and minimizing cost or material can be solved using derivatives.
  • The process involves forming a function based on the problem, finding its derivative, and solving for critical points.
  • Always check the nature of the critical point using the second derivative or sign change of the first derivative.

Key Concepts

Central concept: Maxima and Minima

Increasing and Decreasing FunctionsStationary PointsFirst Derivative TestSecond Derivative TestApplications to Practical Problems

Work through every topic in Applications Of Derivatives – Maxima and Minima with notes and quizzes

Start This Chapter

Frequently Asked Questions

What are the important topics in Applications Of Derivatives – Maxima and Minima for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Applications Of Derivatives – Maxima and Minima include Increasing and Decreasing Functions, Maxima and Minima, Applications of Maxima and Minima. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How should I revise Applications Of Derivatives – Maxima and Minima for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 60 practice questions on Applications Of Derivatives – Maxima and Minima. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Applications Of Derivatives – Maxima and Minima

All Telangana Open School (TOSS) Class 12 Mathematics Syllabus

For serious students

Get the full Applications Of Derivatives – Maxima and Minima chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free