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.
10 examples
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.