Maxima & Minima - Basic Introduction| Ch 05 | Application Of Differentiation 05 Notes ; Polytechnic
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Maxima & Minima - Basic Introduction| Ch 05 | Application Of Differentiation 05 Notes ; Polytechnic
Hey Everyone, How are you ... Today I will show you How to Find Maxima & Minima Of A Given Function, which is chapter 05 , Application Of Differentiation ( Derivatives ), Which Is Module 02 Of Applied mathematics 02 .
- Lecture 05 ( Topics ) :
1 ) Maxima & Minima - Basic Concept .
2 ) Some Important Questions .
3 ) Lecture Related Questions.
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| ( Overview ) |
1 ) Maxima & Minima - Basic Concept .
- Maxima .
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| ( Maxima ) |
Value of function F ( C ) is called Maxima Of Graph & Maximum value of function & Pont C is called Point of Maxima Of Given function.
- Minima ,
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| ( Minima ) |
Value of function F ( C ) is called Minima Of Graph & Minima value of function & Pont C is called Point of Minima Of Given function.
- Local Maxima & Local Minima Of Function
- In this Graph , y = F ( X )
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| ( Concept Of Maxima & Minima ) |
- In interval { C1-h , C1 + h }
F ( C1 ) Local Maxima
C 1 = Local Point of Maxima
- Same As for Point C3
- In Interval { C2 - h , C2 + h }
F ( C2 ) Local Minima
C 2 = Local Point of Minima
- Same As for Point C4
- Absolute Maxima & Minima ;-
Absolute Maxima : Greater value of function it's domain
IN GRAPH F (C1 ) - ABSOLUTE MAXIMA
Absolute Minima : Lowest value of function it's domain
IN GRAPH F (C4 ) - ABSOLUTE MINIMA
2 ) Some Important Questions
Question 01 )
Find the maximum & Minimum value if any , without using the derivatives of the following functions .
( a ) f ( x ) = 4x² - 8x +4 ,
( b ) f ( x ) = -| x - 1 | + 4
( c ) f ( x ) = Sinx +5
( d ) f ( x ) = x³
Solution : View On This Page
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| ( Question 01 ) |
Question 02 )
What Is the maximum value of - 4x² + 4x - 4.
Solution : View On This Page
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| ( Question 02 ) |
- Lecture Related Questions ;
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| ( Lecture Related Questions ) |
Maxima & Minima - Basic Concepts| Ch 05 | Lec 05 Notes ;-
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