Applications of Derivatives Class 12 Maths

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Rate of Change (This topic is no longer in syllabus but it will be needed to understand the next topics)

Derivative as Rate of Change

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

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

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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 23 Subtopics

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NCERT Examples 14 Subtopics

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