Skip to main content
🇬🇧 Free
Sign In
MscTutorMscTutor
Class 12MathematicsApplication of Derivatives

Increasing and Decreasing Functions

f is increasing on interval if f'(x) > 0 for all x in interval. f is decreasing if f'(x) < 0. f is constant if f'(x) = 0. Critical points: where f'(x) = 0 or undefined. Method: find f'(x), set = 0, find critical points, check sign of f'(x) in each interval.

How to study this topic

  1. Read the core explanation once without solving.
  2. Open the formula links below and connect them with the topic meaning.
  3. Practice the 10 example pages one by one.
  4. Use the AI ask page for text, voice or image-based doubts.

10 example pages

Concept check 1
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on concept check and show the working clearly.
Definition to application 2
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on definition to application and show the working clearly.
Formula warm-up 3
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on formula warm-up and show the working clearly.
Reasoning practice 4
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on reasoning practice and show the working clearly.
Board-style short answer 5
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on board-style short answer and show the working clearly.
Mistake correction 6
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on mistake correction and show the working clearly.
Visual interpretation 7
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on visual interpretation and show the working clearly.
Applied word problem 8
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on applied word problem and show the working clearly.
Revision challenge 9
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on revision challenge and show the working clearly.
Exam recap 10
For Class 12 Mathematics, explain or solve a increasing and decreasing functions question from the chapter "Application of Derivatives". Focus on exam recap and show the working clearly.