Maxima & Minima - Second Derivative Test| Ch 05 | Application Of Differentiation 08 Notes ; Polytechnic
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Maxima & Minima - Second Derivative Test| Ch 05 | Application Of Differentiation 07 Notes ; Polytechnic
Hey Everyone, How are you ... Today I will show you How to Solve Words Problem related to Maxima & Minima , which is chapter 06 , Application Of Differentiation ( Derivatives ), Which Is Module 02 Of Applied mathematics 02
- Lecture 08 ( Topics ) :
1 ) Maxima & Minima - Words Problem.
2 ) Some Important Questions
3 ) Lecture Related Questions.
1 ) Maxima & Minima - Words Problem
- Step Required To Find Maxima & Minima ;
Step 01 ) F' ( x ) = 0
Step 02 ) Determine extreme Points .
Step 03 ) Then Differentiate F'(x ) again And find second order derivatives.
Step 04 ) Then Put the extreme point On f''(x )
Case l ) F''(x) |x=C1 <0
C1 Point of Maxima
Case ll ) F'' (x ) | x = C2 > 0
Case lll ) F''(x) |x=C2 = 0
- Go to first Derivative test Check the sign of F'(x )
Step 06 ) Then find maximum & Minimum value of function by put point of Maxima & Minima .
- Important Formula
2 ) Some Important Questions
Question 01 )
Find two positive number whose sum is 14 & Sum of whose square is minimum.
Solution : View On This Page
Question 02 )
A Square Piece Of Tin of side 24cm is to be made into a box without top by cutting a square from each corner & Flolding up the flaps to form a box . What should be the side of square to be cut off so that the volume of the box is minimum ? also Find this maximum volume .
Solution : View On This Page
Question 03 )
Show that height of closed cylinder of the given surface area & Maximum volume is equal to diameter of the base.
Solution : View On This Page
Question 04 )
A Wire of 28cm is cut into to pieces is made into square & other into circle , where should the wire be cut , so as to combinated area is minima.
Solution : View On This Page
Show that the semi vertical angle of a cone of maximum value & Given Volume Slant height is tan-¹√2
Solution : View On This Page
Maxima & Minima - Basic Concepts| Ch 05 | Lec 07 Notes ;-
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