Maxima & Minima - Second Derivative Test| Ch 05 | AOD 07 Notes.

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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 Find Maxima & Minima Of A Given Function by using Second derivative test , which is chapter 06 , Application Of Differentiation ( Derivatives ), Which Is Module 02 Of Applied mathematics 02 

- Lecture 07 ( Topics ) :

1 ) Maxima & Minima - Second Derivative Test 

2 ) Some Important Questions 

3 ) Lecture Related Questions.

1 ) Maxima & Minima - Second Derivative Test .

- 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 .

2 ) Some Important Questions 

Question 01 ) 

Find the maximum & Minimum value of the function F ( x ) = 3x⁴ + 4x³ - 2x² +12 

Solution : View On This Page 

Question 02 ) 

What Is the maximum value & Minimum Value Of F ( x ) = x³ - 18x² + 96x 

Solution : View On This Page

Question 03 ) 

Find the point of local Maxima & local Minima of the function 2x³ -21x² +36x -20 .

Solution : View On This Page

Question 04 ) 

If the f(x ) = aSinx + 1/3 Sin3x has extreme at x = π/3 .find the Value of a .

Solution : View On This Page

- Lecture Related Questions.

Maxima & Minima - Basic Concepts| Ch 05 | Lec 07 Notes ;-
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