# 6. Application Of Derivatives

## Application Of Derivatives

Complete Syllabus of Class 12 Maths Chapter 6 Application of Derivatives:

Application of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

NCERT Exercise 6.1

NCERT Exercise 6.2

NCERT Exercise 6.3

NCERT Exercise 6.4

NCERT Exercise 6.5

NCERT Miscellaneous Exercise

NCERT Chapter 6 Examples

Subject Language: ENGLISH

Explanation Language: HINDI (HINGLISH)

## Lecture - 1

• Rate of Change
• NCERT Exercise 6.1 (Q1 to Q18)

## Lecture - 2

• How to find intervals in which function is increasing and decreasing
• NCERT Exercise 6.2 (Q1 to Q6)

## Lecture - 3

• NCERT Exercise 6.2 Question 6 part (e)
• NCERT Exercise 6.2 (Q7 to Q11)

## Lecture - 4

Coming Soon.......

## Lecture - 5

• Basics of slope of tangent, slope of normal, slope of parallel lines, slope of perpendicular lines, equation of tangent, equation of normal
• NCERT Exercise 6.3 (Q1 to Q8)

## Lecture - 6

• NCERT Exercise 6.3 (Q9 to Q14)

## Lecture - 7

• NCERT Exercise 6.3 (Q15 to Q20)

## Lecture - 8

• Tangents and Normals
• NCERT Exercise 6.3 (Q21 to Q27)

## Lecture - 9

• How to find approximate values of roots using derivatives
• NCERT Exercise 6.4 Question 1

## Lecture - 10

• NCERT Approximations Exercise 6.4 (Q2 to Q9)

## Lecture - 11

• Uses and difference between a function and an equation
• Difference between maxima / minima and maximum / minimum
• How to study NCERT exercise 6.5 maxima and minima
• Different types of maxima / minima or maximum / minimum (Global maximum, global minimum, absolute maximum, absolute minimum, local maximum, local minimum)
• NCERT Exercise 6.5 (Q1 & Q2)

## Lecture - 12

• Meaning of Absolute Maximum and Absolute Minimum. Method to find Absolute Maxima and Absolute Minima
• NCERT Exercise 6.5 (Q5, Q7 to Q12)

## Lecture - 13

• Meaning of Local maxima, local minima, local maximum and local minimum
• NCERT Exercise 6.5 (Q3 & Q4)

## Lecture - 14

• Second order derivative test for local maxima and local minima
• NCERT Exercise 6.5 Question 3

## Lecture - 15

• In this lecture, I am explaining and giving proof of “local maximum value can be greater than local minimum value”.

## Lecture - 16

• Why we use concepts of Local Maxima and Local Minima to solve word problems
• NCERT Exercise 6.5 Question 17

## Lecture - 17

• NCERT Exercise 6.5 (Q13 to Q16)

## Lecture - 18

• NCERT Exercise 6.5 (Q18 & Q19)

## Lecture - 19

• NCERT Exercise 6.5 (Q20 to Q22)

## Lecture - 20

• NCERT Exercise 6.5 (Q23 & Q24)

## Lecture - 21

• NCERT Exercise 6.5 (Q25 & Q26)