Ch6. Applications of Derivatives

Class 12 Maths One Month

In this self study course, you will learn applications 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). For further understanding of concepts and for examination preparation, this course has explanation of all NCERT Exercise questions and important NCERT Examples.

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30 Days (1 Month)

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Course Content

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Rate of Change

Derivative as Rate of Change

NCERT Exercise 6.1 17 Subtopics

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Question – 11

Question – 12

Question – 13

Question – 14

Question – 15, 16

Question – 17

Question – 18

Question – 10

Increasing and Decreasing Functions

Derivative as Increasing and Decreasing Functions

NCERT Exercise – 6.2 4 Subtopics

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Strictly Increasing and Strictly Decreasing Functions

NCERT Exercise – 6.2 17 Subtopics

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Question – 6 (a-b)

Question – 6 (c-d)

Question – 6 (e)

Question – 10

Question – 11

Question – 12

Question – 13

Question – 14

Question – 15

Question – 16

Question – 17

Question – 18

Question – 19

Tangents and Normals

Working with Tangents and Normals

NCERT Exercise – 6.3 26 Subtopics

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Question – 10

Question – 11

Question – 12

Question – 13

Question – 14

Question – 15

Question – 16

Question – 17

Question – 18

Question – 19

Question – 20

Question – 21

Question – 22

Question – 23

Question – 25

Question – 26, 27

Question – 24

Approximations

NCERT Exercise 6.4 Question 1 15 Subtopics

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NCERT Exercise – 6.4 8 Subtopics

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Maxima and Minima

Maximum and Minimum Values of Functions

NCERT Exercise – 6.5 2 Subtopics

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Absolute Maxima and Minima

NCERT Exercise – 6.5 7 Subtopics

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Question – 10

Question – 12

Question – 11

Local Maxima and Minima

NCERT Exercise – 6.5 1 Subtopic

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Question – 3 (ii)

First Derivative Test (Rules)

NCERT Exercise – 6.5 8 Subtopics

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Question – 3 (i)

Question – 3 (iii)

Question – 3 (iv)

Question – 3 (v)

Question – 3 (vi)

Question – 3 (vii)

Question – 3 (viii)

Second Derivative Test

NCERT Exercise – 6.5 8 Subtopics

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Question – 3 (i)

Question – 3 (ii)

Question – 3 (iii)

Question – 3 (iv)

Question – 3 (v)

Question – 3 (vi)

Question – 3 (vii)

Question – 3 (viii)

Local Maxima can be smaller than Local Minima

NCERT Exercise – 6.5 15 Subtopics

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Question – 17

How to solve word problems?

Question – 13

Question – 14

Question – 15

Question – 16

Question – 18

Question – 19

Question – 20

Question – 21

Question – 22

Question – 23

Question – 24

Question – 25

Question – 26

NCERT Exercise 6.5 3 Subtopics

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Question – 27

Question – 28

Question – 29

NCERT Miscellaneous Exercise

NCERT Miscellaneous Exercise 23 Subtopics

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NCERT Examples

NCERT Examples 14 Subtopics

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Agam Sir (Ashish Kumar)

Agam Sir (Ashish Kumar)

Teacher

Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.