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

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Subject Language: ENGLISH

Explanation Language: HINDI (HINGLISH)

YouTube Playlist

Lecture - 1

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

Videos & PDFs

Lecture - 2

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

Videos & PDFs

Lecture - 3

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

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Lecture - 4

Coming Soon.......

Videos & PDFs

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)

Videos & PDFs

Lecture - 6

  • NCERT Exercise 6.3 (Q9 to Q14)

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Lecture - 7

  • NCERT Exercise 6.3 (Q15 to Q20)

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Lecture - 8

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

Videos & PDFs

Lecture - 9

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

Videos & PDFs

Lecture - 10

  • NCERT Approximations Exercise 6.4 (Q2 to Q9)

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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)

Videos & PDFs

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)

Videos & PDFs

Lecture - 13

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

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Lecture - 14

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

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Lecture - 15

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

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Lecture - 16

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

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Lecture - 17

  • NCERT Exercise 6.5 (Q13 to Q16)

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Lecture - 18

  • NCERT Exercise 6.5 (Q18 & Q19)

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Lecture - 19

  • NCERT Exercise 6.5 (Q20 to Q22)

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Lecture - 20

  • NCERT Exercise 6.5 (Q23 & Q24)

Videos & PDFs

Lecture - 21

  • NCERT Exercise 6.5 (Q25 & Q26)

Videos & PDFs

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