A Mathactive Educator, Lover of books, Avid learner, Online Tutor, Founder of Mathemission. 

Ashutosh Kumar

This course is based on the third module of 'A course on Calculus' namely Application of Derivatives. In this course, we will see what are the important application of derivatives what we have learnt in the previous course. Starting from Related rates between two quantities we extend it up to the optimisation problems. We will also learn how to apply the derivative by sketching a graph a given function.

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

English

Module 3: Course on Calculus - Application of Derivatives

Maxima - Minima

Calculus

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

In this lesson we shall learn the related rates ( or dy/DX as a rate measurer. How the derivative can be applied to the rate of change of a quantity under given circumstances 😉

Lesson 1: Related Rates

This is the first part of 'Tangents and Normal' in which equation of tangent and equation of normal are derived and applied to solve some problems.😊

Lesson 2: Tangents and Normals- 1

In this lesson 'angle of intersection between two curves' is covered followed by a typical example on orthogonality of two curves'.

Lesson 3: Tangents and Normals -2

Starting with the definition of Increasing (and Strictly Increasing) Functions we shall learn how to derive the conditions for such behaviour of a function. Also learn how to find intervals.😊

Lesson 4: Incresing and Decreasing Functions-1

How the composition of increasing/decreasing functions behaves ? Let's see.

Lesson 5: Increasing and Decreasing Functions -2

In this lesson we shall learn the concept of Concavity and Point of Inflection.☺

Lesson 6: Concavity and Point of Inflection

In this lesson we shall see the basic concepts of extrema.☺

Lesson 7: Maxima and Minima - I

In this lesson we shall see the first derivative test and the application of it in finding local minimum and local maximum.

Lesson 8: Maxima and Minima -II

In this lesson we shall see the Second Derivative Test and it's application in finding the local min/Max.

Lesson 9: Maxima and Minima -III

In this lesson we shall learn the method to find the absolute min/Max in a given closed interval.

Lesson 10: Maxima and Minima - IV

Here we shall see the max/ min of a discontinuous function.

Lesson 11: Maxima and Minima - V

This lesson covers the Optimisation Problems (also known AdWords problems on  Maxima / minima). Here we shall discuss two examples.

Lesson 12: Optimisation Problems 1

In this lesson we shall discuss two more examples on Optimisation Problems.

Lesson 13: Optimisation Problems 2

In this lesson we shall see the application of derivatives - Approximation.

Lesson 14: Approximations

This lesson explains two important theorems (application of Derivatives ) . They are - Rolle's Theorem and Mean Value Theorem

Lesson 15: Rolles's Theorem and Mean Value Theorem

We can also apply the concepts of increasing , decreasing and Maxima, Minima to determine the nature of roots of a cubic equation. Let us see how?

Lesson 16: Nature of Roots a Cubic Equation

One of the most important application of derivatives is to determine the behaviour of graph  of a given function. This helps in sketching the curve. Let's see what concepts are required to sketch a curve !

Lesson 17: Curve Sketching - 1

In this lesson we shall see the concepts of Vertical asymptote and Horizontal asymptote.

Lesson 18: Curve Sketching - 2

In this lesson we shall see the concept of Slant asymptote and also do an example in which all the helpful concepts are used to sketch the curve of a function.

Lesson 19: Curve Sketching - 3

A Game Changer in Mathematics, produced multiple 100 percentilers, Air 33 & 34 (Main 2024), his courses are the Benchmark for IIT JEE 

Vineet Loomba

This course explains the concepts of indefinite integration from basics to Advanced level with special focus on IIT Aspirants. In Chapter Solved Examples and Previous Year questions have been covered in this course

(Hindi) Indefinite Integration Made Easy

An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

The course contains solutions of all the Questions asked in IIT JEE in the last 40 years in the chapter Maxima minima in reverse order starting from 2018

(Hindi) Previous Year Questions on IIT JEE Main

IIT Bombay | Taught AIR 1, 6, 20*in JEE Advanced | Taught AIR 28 (AIIMS Delhi) | Tutored INCHO AIR 60 | Mentored multiple 100 percentiles.

Sachin Rana

This course deals with the Tangents and Normals, Monotonocity, Locus Problems and much more!

Application of Derivatives (Part I): IIT JEE

This course details all the concepts involved in finding areas under curves. This is an application of definite integral wherein integration is used to calculate areas bound by various standard and non-standard curves. In this course we aim to cover all the concepts necessary for JEE Main and Advanced and Board exams. Once this course is finished, students will face no difficulty in solving any type of problem on Applications of Integrals

(Hindi) Area Under Curves (Applications of Integrals)

The course contains all the theory and concepts related to application of derivative (tangent to a graph normal to a graph and related concepts), Rate rate measurement and related concepts like approximation and diffrential.

(Hindi) Application of Derivatives(Tangent and Normal, Rate Measurement) by MC sir (Volume 1)

This course is about IIT JEE questions from 2018 to 1981 explained in detail, some tough questions also taken

Lessons

19 lessons • 4h 9m

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Lesson 1: Related Rates

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Lesson 2: Tangents and Normals- 1

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Lesson 3: Tangents and Normals -2

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Lesson 4: Incresing and Decreasing Functions-1

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Lesson 5: Increasing and Decreasing Functions -2

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Lesson 6: Concavity and Point of Inflection

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Lesson 7: Maxima and Minima - I

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Lesson 8: Maxima and Minima -II

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Lesson 9: Maxima and Minima -III

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Lesson 10: Maxima and Minima - IV

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