Application of Derivatives

Simply Easy Learning

Created by Ridhi Arora, Last Updated 09-Aug-2019, Language:English

Description

Differentiation has applications in nearly all quantitative disciplines. In Physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body. The reaction rate of a chemical reaction is also a derivative. Even Mathematics witnesses its widespread use in areas such as complex analysis, functional analysis, differential geometry, and abstract algebra. This video series is based on Application of Derivatives for class 12 students for board level and IIT JEE Mains.

Audience

These video classes have been designed for Class 12 students (Non-medical students and commerce students with Mathematics), those who are preparing for CBSE and other Board Exams for Intermediate, +2 and IIT JEE entrance exams. These classes will also be helpful for students in preparing them for Competitive Examinations for Engineering Institutes like IIT JEE etc.

Course Content

Application of Derivatives

2 Lectures 00:10:53
- Application of Derivatives Syllabus
  
  00:07:56
- Application of Derivatives Overview
  
  Preview
  
  00:02:57
Rate of Change of Quantities

4 Lectures 00:14:13
- Rate of Change of Quantities Overview
  
  Preview
  
  00:02:38
- Rate of Change Problem Example 1
  
  Preview
  
  00:03:34
- Rate of Change Problem Example 2
  
  00:03:54
- Rate of Change Problem Example 3
  
  00:04:07
Increasing Decreasing Functions

6 Lectures 00:20:47
- Increasing Decreasing Functions Overview
  
  00:03:15
- Definition of Increasing Decreasing Functions
  
  00:08:02
- Increasing Decreasing Functions Problem Example 1
  
  00:02:41
- Increasing Decreasing Functions Problem Example 2
  
  00:02:01
- Increasing Decreasing Functions Using Derivatives
  
  00:02:09
- Increasing Decreasing Functions Using Derivatives Example
  
  00:02:39
Intervals For Increasing Decreasing Functions

5 Lectures 00:19:56
- Intervals for Increasing Decreasing Functions Overview
  
  Preview
  
  00:02:10
- Intervals in Which Function is Increasing Or Decreasing Example 1
  
  00:04:11
- Intervals in Which Function is Increasing Or Decreasing Example 2
  
  00:03:58
- Intervals in Which Function is Increasing Or Decreasing Example 3
  
  00:06:38
- Intervals in Which Function is Increasing Or Decreasing Example 4
  
  00:02:59
Tangents & Normals

6 Lectures 00:26:53
- Overview of Tangents & Normals
  
  00:06:46
- Tangents & Normals Problem Example 1
  
  00:02:36
- Tangents & Normals Problem Example 2
  
  00:03:53
- Overview of Equations of Tangents & Normals
  
  00:02:54
- Equations of Tangents & Normals Problem Example 1
  
  00:05:19
- Equations of Tangents & Normals Problem Example 2
  
  00:05:25
Approximations

7 Lectures 00:27:00
- Overview of Approximations
  
  00:03:26
- Overview of Errors
  
  00:03:30
- Approximations in Detail
  
  Preview
  
  00:02:43
- Procedure to Solve Approximations Problems
  
  00:03:37
- Approximations Problem Example 1
  
  00:04:17
- Approximations Problem Example 2
  
  00:06:03
- Approximations Problem Example 3
  
  00:03:24
Maxima & Minima

15 Lectures 01:11:42
- Overview of Maxima & Minima
  
  00:04:29
- Maxima & Minima in Detail
  
  00:04:23
- Maxima & Minima of a Non Differentiable Function
  
  00:02:13
- Overview of Local Maxima & Local Minima
  
  00:06:04
- Overview of First Order Derivative Test
  
  00:03:53
- Algorithm For First Derivative Test
  
  00:04:17
- First Order Derivative Test Problem Example 1
  
  00:06:02
- First Order Derivative Test Problem Example 2
  
  00:02:55
- Second Order Derivative Test
  
  Preview
  
  00:03:25
- Second Order Derivative Test Problem Example 1
  
  00:07:17
- Second Order Derivative Test Problem Example 2
  
  00:11:14
- Second Order Derivative Test Problem Example 3
  
  00:03:52
- Maxima & Minima Values in a Closed Interval
  
  00:04:10
- Maxima Minima in Closed Interval Problem Example 1
  
  00:02:50
- Maxima Minima in Closed Interval Problem Example 2
  
  00:04:38
Problem Sums On Maxima Minima

8 Lectures 00:45:31
- Maxima Minima Problem Example 1
  
  00:04:18
- Maxima Minima Problem Example 2
  
  00:05:17
- Maxima Minima Problem Example 3
  
  00:06:36
- Maxima Minima Problem Example 4
  
  00:05:44
- Maxima Minima Problem Example 5
  
  00:07:23
- Maxima Minima Problem Example 6
  
  00:06:22
- Maxima Minima Problem Example 7
  
  00:05:33
- Maxima Minima Problem Example 8
  
  00:04:18
Problems on Application Of Derivatives

5 Lectures 00:17:44
- Application of Derivatives Miscellaneous Problem 1
  
  00:02:22
- Application of Derivatives Miscellaneous Problem 2
  
  00:04:26
- Application of Derivatives Miscellaneous Problem 3
  
  00:03:29
- Application of Derivatives Miscellaneous Problem 4
  
  00:02:31
- Application of Derivatives Miscellaneous Problem 5
  
  00:04:56
IIT JEE Exam Questions

10 Lectures 00:46:03
- Application of Derivatives IIT JEE Problem 1
  
  00:07:45
- Application of Derivatives IIT JEE Problem 2
  
  Preview
  
  00:04:45
- Application of Derivatives IIT JEE Problem 3
  
  00:04:33
- Application of Derivatives IIT JEE Problem 4
  
  00:01:53
- Application of Derivatives IIT JEE Problem 5
  
  00:03:31
- Application of Derivatives IIT JEE Problem 6
  
  00:04:21
- Application of Derivatives IIT JEE Problem 7
  
  00:06:06
- Application of Derivatives IIT JEE Problem 8
  
  00:04:48
- Application of Derivatives IIT JEE Problem 9
  
  00:04:34
- Application of Derivatives IIT JEE Problem 10
  
  00:03:47

Ridhi Arora

Ridhi Arora holds a B. Tech Honors - Gold medalist in Computer Science. Ridhi is an ardent learner, a keen observer and a passionate Mathematics faculty for classes 11,12 and IIT JEE Mains. She is among the top 10 most viewed writers in Kota, Rajasthan, on Quora. Ridhi is also associated with Ganit Hub as Algebra HOD and Miracle Live Coaching Private Limited as a Mathematics faculty. Ridhi is a confident and dynamic trainer with a total teaching experience of 5+ years.