Skip to main content
Chapter 20 of 31
Formula Sheet

Applications Of Derivatives – Maxima and Minima — Formula Sheet

Telangana Open School (TOSS) · Class 12 · Mathematics

7 formulas from Applications Of Derivatives – Maxima and Minima (Telangana Open School (TOSS) Class 12 Mathematics) on one page, grouped by topic.

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 formula sheet and more.

Free trial, no card needed.

7 Entries · 5 Sections

Formulas and Key Relations

Increasing and Decreasing Functions

f'(x) > 0 ⇒ f(x) is increasing

f'(x) < 0 ⇒ f(x) is decreasing

Stationary Points and Critical Points

f'(x) = 0

If f'(x) ≥ 0 on an interval, f is monotonically increasing.

If f'(x) ≤ 0 on an interval, f is monotonically decreasing.

Stationary points occur where f'(x) = 0.

Key relations

These are points where the first derivative of a function is zero (f'(x) = 0).

Full sheet with units and worked examples

View All

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 many formulas are in Applications Of Derivatives – Maxima and Minima?
This sheet lists 7 formulas from Applications Of Derivatives – Maxima and Minima, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

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.