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Ch6. Applications of Derivatives

Class 12 Maths

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Description

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.

Additional information

Syllabus Medium	English
Explanation Language	Hinglish (Hindi + English)
Duration	23 hours 17 minutes
Validity	45 Days
Teacher	Ashish Kumar (Agam Sir)

Course Content

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Rate of Change

Derivative as Rate of Change Sample Topic

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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