Ex 2.4 All Questions Solved With Explanation | Increasing Decreasing Critical Points Max Min 12 Math
Quratulain aslam
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Ex 2.4 All Questions Solved With Explanation | Increasing Decreasing Critical Points Max Min 12 Math
5 просмотров · 10 ч назад
Quratulain aslam
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5 просмотров · 10 ч назад
Ex 2.4 All Questions Solved With Complete Explanation - Increasing and Decreasing Functions - Critical Points - Max Min Test | Second Year Maths Chapter 2 Further Differentiation | Punjab Board
In this video we have solved Complete Exercise 2.4 Q1 to Q6 with definition, method and tricks.
Topics Covered in Ex 2.4:
1. Definition of Increasing and Decreasing Function
f(x) is increasing if f'(x) greater than 0
f(x) is decreasing if f'(x) less than 0
2. Definition of Critical Point
Point c where f'(c)=0 or f'(c) does not exist but f(c) exists is critical point
3. First Derivative Test for Local Max Min
If f' changes + to - then local max, if - to + then local min
4. Second Derivative Test for Local Max Min
If f''(c) greater than 0 then local min, if f''(c) less than 0 then local max
Exercise 2.4 Questions Solved:
Q1. Find intervals where function is increasing and decreasing
Q2. Find critical points
Q3. Find local max and local min using first derivative test
Q4. Find local max and local min using second derivative test
Q5. Word problems of Max Min
Q6. Complete Concept Questions
This video contains complete step by step solution with board pattern for all Punjab Boards.
Class: Second Year / Class 12 Mathematics
Chapter: Chapter 2 Further Differentiation
Exercise: Exercise 2.4 Complete
Board: Punjab Board, FBISE, Lahore Board, Rawalpindi Board, Multan Board, Gujranwala Board, Faisalabad Board, Sargodha Board
Teacher: Maths By QURATULAIN ASLAM
Full Playlist: Chapter 2 Differentiation - Class 12 Maths
Next Exercise: Ex 2.5 Local Linear Approximation and Linearization
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