Aditya Narayan Sharma

A brief introduction to Differential Calculus and their applications to various problems equipped with appropriate examples. This course will give an idea about Derivatives for IIT-JEE exam. Medical students are advised to follow this course for the development of a mathematical rigour to solve problems in physics.

The contents of the course :

1) Introduction to derivatives
2) Elementary differentiation techniques
3) Taylor expansion of functions
4) Derivatives of standard functions and inverse circular functions
5) Monotonicity : Increasing and decreasing functions
6) Maxima and Minima : Application of derivatives

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

Introduction to Differential Calculus, Derivatives and their Applications

Limits 

Calculus

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

Limits

The lesson introduces aspirants to the basic concepts and notions of a derivative from the first principle. A firm grasp over basics is the best place to start, and this is exactly what this lesson does. A suitable example has been provided at the end to demonstrate the theory that has been taught.

Introduction to Derivatives

Introduction to elementary derivatives and how to use the first principle to derive them. At the end a list of standard derivatives is also provided.

Elementary Derivatives and Results

Taylor expansion - Maclaurin Expansion of various functions and their uses in finding non-elementary limits has been illustrated. A list of common expansions has also been provided.

Taylor Expansion

The lesson covers some basic rules of differentiation with 1 example alloyed for each case in a clear and lucid manner.

Basic rules of differentiation :
1) Differentiating over addition
2) Differentiating over multiplication
3) Differentiating over division
4) Differentiating over exponents

Rules of Differentiation - Derivatives of Product, Addition, Exponential Functions

Chain rule in differentiation has been explained thoroughly with 2 examples. The examples are also in the order of increasing difficulty in order to give the reader a progressive attitude.

Chain Rule in Differentiation

The key concept to treat dy/dx as a ratio to provide a pathway for the proof of the chain rule in differentiation. Two examples have been provided to make the concepts stronger.

Explanation of The Chain Rule

Differentiation of inverse circular trigonometric functions and their derivation. The following derivations are provided :
1)arcsin(x)
2)arctan(x)
3)arcsec(x)

The functions arccos(x),arccot(x),arccsc(x) has been left as an exercise to improve problem solving abilities.

Derivatives of Inverse Circular Functions

Explanation of monotonicity - increasing and decreasing functions and their graphical representations. An example is provided at the end to ensure problem solving skills to flourish.

Monotonicity

A detailed process to find maximum and minimum of a certain function in a given interval is explained.

Two heavyweight examples are provided in order to boost the morale and problem solving skills of the student.

Graphical approach has been explained thoroughly.

Maxima and Minima

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 entire Continuity, Differentiability and Differentiation for JEE Main, JEE Advanced, BITSAT and other engineering exams.

Continuity and Differentiation - IIT JEE

Mandhan Academy
4 crore views - Top maths teacher in India
Plus Code to get 
10% discount - MANDHAN

Akash Mandhan

This course is on the chapter limits which belongs to calculus section of Mathematics. Videos provide detailed information about limits for class 11,12 and IIT JEE entrance exam.

(Hindi) Limits

IIT-B Graduate, Mentor, Author of 5 JEE Adv Maths Series,
Kota Educator from past 16+ years, Mentor of many Top 100 Rankers in JEE Advanced.

Om Sharma

This course is strictly  for class 12 & Droppers. Om Sir has solved numerous problems based on calculus which requires depth of concepts. This course is must for students who are focused for IIT JEE advanced.

(Hindi) Problem Solving Course for Calculus: IIT JEE

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 covers all the concepts on limits, continuity and differentiability for JEE Main and Advanced.

(Hindi) Limits, Continuity, Differentiability for IIT-JEE (JEE Main and Advanced)

This course covers all concepts of method of differentiation namely derivative of standard functions, product rule, quotient rule, chain rule, inverse functions, logarithmic differentiation, implicit functions and advanced problems

(Hindi) Differentiation For JEE Main and Advanced

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

Lessons

9 lessons • 1h 20m

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Introduction to Derivatives

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Elementary Derivatives and Results

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Taylor Expansion

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Rules of Differentiation - Derivatives of Product, Addition, Exponential Functions

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Chain Rule in Differentiation

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Explanation of The Chain Rule

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Derivatives of Inverse Circular Functions

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Monotonicity

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Maxima and Minima