Maxima & Minima - First Derivative Test| Ch 05 | Application Of Differentiation 06 Notes ; Polytechnic

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Maxima & Minima - First Derivative Test| Ch 05 | Application Of Differentiation 06 Notes ; Polytechnic 

Hey Everyone, How are you ... Today I will show you How to Find Maxima & Minima Of A Given Function by using first derivative test , which is chapter 06 , Application Of Differentiation ( Derivatives ), Which Is Module 02 Of Applied mathematics 02 .

- Lecture 06 ( Topics ) :

1 ) Maxima & Minima - First Derivative Test 

2 ) Some Important Questions .

3 ) Lecture Related Questions.

1 ) Maxima & Minima - First Derivative Test .

- Step Required To Find Maxima & Minima ;

Step 01 ) F' ( x ) = 0 

Step 02 ) Allocate extreme Points on the number link 

Step 03 ) Check the sign of F' ( x ) in each interval 

Step 04 ) If Sign change positive to negative then value of x called point of Maxima 

Step 05 ) If Sign change negative to positive then value of x called point of Minima

Step 06 ) Then find maximum & Minimum value of function 

2 ) Some Important Questions 

Question 01 ) 

Find the maximum & Minimum value of the function F ( x ) = x³ - 3x +3 .

Solution : View On This Page 

Question 02 ) 

What Is the maximum value & Minimum Value Of F ( x ) = 3x⁴ + 4x³ - 2x² +12 

Solution : View On This Page

Question 03 ) 

Find the point of local Maxima & local Minima of the function F(x ) = Sin⁴x + Cos⁴x , where x belong to (x , π/2 ) 

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 06 | Lec 05 Notes ;-

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