# DIFFERENTIATION

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## DIFFERENTIATION

DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS

THIS VIDEO HELPS US TO UNDERSTAND DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS. DIFFERENT FORMULAE Â ARE DISCUSSED AND RELEVANT PROBLEMS ARE EXPLAINED.THIS IS USEFUL FOR GRADE 12 MATH STUDENTS.

## DFFERENTIATION

LOGARITHMIC DIFFERENTIATION

IN THE NEXT OF MY VIDEOS ON DIFFERENTIATION, I HAVE DISCUSSED HOW TO CALCULATE DERIVATIVES OF LOGARITHMIC FUNCTIONS.

THIS IS USEFUL FOR GRADE 12 MATH STUDENTS.

THE VIDEO IS SELF EXPLANATORY AND EASY TO UNDERSTAND.

## DIFFERENTIATION

### DIFFERENTIATION

DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS

THIS VIDEO HELPS US TO UNDERSTAND DERIVATIVES OF INVERSE TRIGONOMETRIC FUNCTIONS. DIFFERENT FORMULAE Â ARE DISCUSSED AND RELEVANT PROBLEMS ARE EXPLAINED.THIS IS USEFUL FOR GRADE 12 MATH STUDENTS.

### DFFERENTIATION

LOGARITHMIC DIFFERENTIATION

IN THE NEXT OF MY VIDEOS ON DIFFERENTIATION, I HAVE DISCUSSED HOW TO CALCULATE DERIVATIVES OF LOGARITHMIC FUNCTIONS.

THIS IS USEFUL FOR GRADE 12 MATH STUDENTS.

THE VIDEO IS SELF EXPLANATORY AND EASY TO UNDERSTAND.

## DIFFERENTIATION

### DIFFERENTIATION

LAGRANGE'S MEAN VALUE THEOREM

This video is part of my series of videos on Differentiation. Here, Lagrange's Mean Value Theorem and its geometrical significance is explained. Relevant problems are also discussed.

This is useful for Grade 12 Math students.Â

The video is self explanatory and easy to understand.

### DFFERENTIATION

INDETERMINATE FORMS

This video continues with my series of videos on differentiation. Here, indeterminate forms and L 'Hospital's rule is discussed in depth. This is useful for students of grades 11 and 12.Â

The video is easy to understand.

## DIFFERENTIATION

### DIFFERENTIATION

SECOND ORDER DERIVATIVES

This video continues with my series on Differentiation. Here, the concept of Second Order Derivatives is introduced and explained with problems.Â

This is useful for grade 12 math students.

Problems are explained in a quick and easy manner.

### DFFERENTIATION

ROLLE'S THEOREM

In this video on differentiation, I have explained Rolle's Theorem and problems based on it.

This is useful for students of grades 11 and 12 learning Calculus.Â

The video is self explanatory and easy to understand.

## DIFFERENTIATION

CONTINUITY OF FUNCTION

CONTINUITY IS AN INTEGRAL PART OF A DERIVABLE FUNCTION. HENCE I HAVE INCLUDED A VIDEO ON CONTINUITY. THIS VIDEO DEFINES CONTINUITY OF A FUNCTION AND ILLUSTRATES PROBLEMS ON HOW TO CALCULATE CONTINUITY OF A FUNCTION.Â THE CONCEPT OF LEFT AND RIGHT HAND LIMITS IS ALSO DISCUSSED.

THIS IS USEFUL FOR GRADE 12 MATH STUDENTS

## HOW TO SOLVE INDETERMINATE LIMITS

DIFFERENTIATION

Here, we discuss some more problems on indeterminate form of limits. This is useful for grade 12 math students. For further assistance, email me.

## PROBABILITY(PART 2)

## DIFFERENTIATION

DERIVATIVES OF IMPLICIT FUNCTIONS , DIFFERENTIATION OF DETERMINANTS

THIS VIDEO CONTINUES WITH MY SERIES ON DIFFERENTIATION. HERE, WE DEFINE IMPLICIT FUNCTIONS AND LEARN HOW TO DIIFERENTIATE THEM. WE ALSO LEARN HOW TO CALCULATE THE DERIVATIVE OF A DETERMINANT.

THIS VIDEO IS USEFUL FOR GRADE 12 MATH STUDENTS.

THE VIDEO IS EASY TO UNDERSTAND.

## DIFFERENTIATION

DERIVATIVE OF COMPOSITE FUNCTIONS

IN THE LAST VIDEO, WE LEARNT HOW TO CALCULATE DERIVATIVE OF A FUNCTION USING FIRST PRINCIPLES.

SINCE IT IS NOT ALWAYS EASY TO USE THIS METHOD, EACH TIME, WE LEARN HOW TO CALCULATE THE DERIVATIVE USING VARIOUS DIFFERENTIATION FORMULAE. HERE, WE EVALUATE THE DERIVATIVE OF COMPOSITE FUNCTIONS.

## DIFFERENTIATION USING FIRST PRINCIPLES

THIS IS THE NEXT OF MY VIDEOS ON DIFFERENTIATION. IN THE LAST VIDEO, WE DISCUSSED CONTINUITY USING LIMITS. HERE, WE USE LIMITS TO CALCULATE DERIVATIVE OF A FUNCTION. THE CONCEPT OF LEFT HAND AND RIGHT HAND DERIVATIVE ARE DISCUSSED.

THIS IS USEFUL FOR GRADE 12 MATH STUDENTS. PROBLEMS ARE EXPLAINED IN A STEP BY STEP METHOD

## GRADE 12 MATH

PARAMETRIC FUNCTIONS AND SECOND ORDER DERIVATIVES

This video continues with my series of videos on differentiation. Here, the topic of parametric functions is introduced and explained. The concept of second order derivatives in parametric functions is also discussed.

This video is useful for math students of grade 12. The video is explained in a simple and methodical way.

## PRINCIPAL VALUES OF INVERSE TRIGONOMETRIC FUNCTIONS

This video helps us to understand how to evaluate inverse trigonometric functions keeping in mind their domain and range which was discussed in an earlier video. Very often ,students get confused as to how to evaluate inverse trig functions. These problems have been explained along with the relevant formulae. This is useful for grade 12 math students.

## INVERSE TRIGONOMETRIC FUNCTIONS

UNDERSTANDING THE DOMAIN AND RANGE

This video helps us to understand the domain and range of inverse trigonometric functions. These are explained with the respective graphs. It shows how the function is one-one in a certain interval and that is why the inverse exists. This video is useful for grade 12 math students.

For more videos, subscribe to my playlist on inverse trigonometric function.

## PARTIAL FRACTIONS

INTEGRATION

This video is a part of math videos for grade 12. Here, we discuss partial fractions and how to divide into partial fractions for various cases. A sound knowledge of partial fractions is needed to do integration.

The video is easy and concise.

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## INTEGRATION BY PARTS

INTEGRATION

This video explains integration by parts, a crucial tool to calculate product of 2 functions. The order of integration, together with the exceptions are explained A few problems are explained in detail.

This is useful for grade 12 math students.

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## SPECIAL INTEGRALS I

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GRADE 12 MATH

This video explains a few more types of problems in integration. This is useful for students of grade 12 math.

Problems are explained in a step by step method.

If you need more videos , subscribe to my channel.

## SPECIAL INTEGRALS Ii

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GRADE 12 MATH

This video explains a few more types of problems in integration. This is useful for students of grade 12 math.

Here, problems of the type linear/sqrt(quadratic) are discussed.

Various types of formulae are also discussed.Â

Send me your feedback through a comment.

## INTEGRATION AS THE LIMIT OF A SUM

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GRADE 12 MATH

Here, we explain how integrations is derived from limits as sum. A few problems are solved. I hope you benefit from watching this video. Send me your feedback if you do.

## AREA BETWEEN 2 CURVES-PROBLEMS

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GRADE 12 MATH

This video is designed to help students of grade 12 math , engineering math and undergraduate math students studying Calculus.

Here, the concept of area between 2 curves is explained using integration.

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## APPROXIMATIONS VIDEO

What are approximations?

Here, we use the concept of differential to find the approximate value of a function. We can find the values easily with a calculator as well! If y = f(x), we learn the differential of y, and learn the formulae used to calculate the approximate values of y. This video is application oriented. It focuses on solving problems based on the formula. We also learn about absolute error, approximate error and %error. As a teacher, I have found students getting confused about approximate error and actual value of the function.i have explained the difference in the video. So, watch this video to understand approximations.

This video is useful for Class 12 Maths students , ISC MATHS, CBSE MATHS and other boards.It is also useful for the NATA (maths) aptitude test for architecture

Consider subscribing to my channel for more videos.

Visit my page

Subscribe to my playlist

For further help, you can enrol for my masterclass on Applications of Derivatives which involves derivative as a rate measure, approximations, tangent and normal, increasing and decreasing functions, maxima and minima problems.Students tend to find this topic difficult.

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## DERIVATIVE AS A RATE MEASURE

## MAXIMA AND MINIMA PROBLEMS

APPLICATIONS OF DERIVATIVES

This video teaches practical applications to maxima and minima problems. Here, the use of Second Derivative test is illustrated.

This is useful for grade 12 math students. The video is simple to understand.

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## CALCULATING TANGENT AND NORMA

APPLICATIONS OF DERIVATIVES

In this video, we learn how to calculate slope of a tangent and normal using derivatives. We also learn how to calculate the equation of a tangent and normal at a particular point. This is useful for grade 12 math students. The video is explained in a structured manner.

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## CALCULATING DOMAIN AND RANGE OF A FUNCTION

RELATIONS AND FUNCTIONS

In this video, we discuss problems on how to calculate the domain and range of a function.Here, different types of problems are discussed as each problems has a different approach. This video is useful for students of grades 11 and 12 studying math.

## PROPERTIES OF DETERMINANTS:SOLVED BOARD QUESTIONS

## CALCULATING INVERSE OF A MATRIX USING ELEMENTARY TRANSFORMATIONS

MATRICES

Here, we learn how to calculate inverse of a matrix using elementary row or column operations. Generally, students tend to find this topic a little difficult. I hope this video helps students understand this topic a little better.

## EQUATION OF PLANES IN 3D

This video is designed to help grade 12 math students learning 3 dimensional geometry.

Here, problems on calculating angle between 2 lines in the Cartesian and Vector form are discussed.

## HOW TO CALCULATE ANGLE BETWEEN 2 PLANES IN 3 D

How do you calculate angle between 2 planes in 3 D?

Watch this video to find out. Here, we learn how to calculate angle between 2 planes. We learn how to check if 2 planes are parallel or perpendicular. We also learn how to find the angle between a line and a plane. The intersection of 2 planes is also touched upon.

This is a part of grade 12 mathematics. It is also useful for the NATA ELIGIBILITY test for architecture.

For more videos,

visit my page consider subscribing to my channel.

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## ANGLE BETWEEN 2 LINES IN 3D

This video is designed to help grade 12 math students learning 3 dimensional geometry.

Here, problems on calculating angle between 2 lines in the Cartesian and Vector form are discussed.

## DISTANCE OF A POINT FROM A PLANE IN 3 D GEOMETRY

How do you calculate distance of a point from a plane?

Watch this presentation to find out. Here, we learn how to calculate the perpendicular distance from a point to a plane. We also learn how to find the distance between 2 parallel planes. How to calculate the equation of a plane mid parallel to 2 planes.

This channel is useful for students of grades 11 and 12 studying Mathematics and also students preparing for the NATA eligibility test for architecture.

Do consider subscribing to my channel and hit the bell so you get notifications each time a new video is published.

## 3 D GEOMETRY: CONCEPT OF CARTESIAN AND VECTOR FORM OF A LINE

This is the first of my series of videos on 3 dimensional geometry. Here, we learn the concept of direction ratios and direction cosines. CatesIan and vector forms of a line are also introduced.

The video is simple and easy to understand.

## ANGLE BETWEEN 2 LINES

How do you calculate angle between 2 lines in 3 dimensional geometry?

Learn this and much more in this presentation/video. Here, we learn how to calculate angle between 2 lines, equation of a line passing through 2 points and perpendicular to a line and how to find the foot of a perpendicular from a point to a line.

These are useful for grade 12 mathematics students and students appearing for the NATA eligibility test in architecture which has maths as a section

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## REGRESSION ANALYSIS

In this video, we learn about regression coefficients, their relation to correlation coefficients Â and the 2 lines of regression.

We learn about independent and dependent variables. The relation of the regression coefficients to standard deviation is also stressed.Â

This is useful for grade 12 math students and also students learning Statistics.

## PROBABILITY

This video attempts to explain probability and discusses problems on probability using combinations and the fundamental principal of counting. This is useful for grade 12 math students and students preparing for the GRE quant.Â

The video is easy to understand.

## This video attempts to explain probability and discusses problems on probability using combinations and the fundamental principal of counting. This is useful for grade 12 math students and students preparing for the GRE quant.Â

The video is easy to understand.

## SHORTEST DISTANCE BETWEEN 2 LINES

3 DIMENSIONAL GEOMETRY

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How do you calculate the distance between 2 lines in 3 dimensional geometry?

Watch this presentation to find out how to calculate the shortest distance between 2 parallel and non parallel lines. We also learn about skew lines and how to test if 2 lines are skew.

This is a useful topic for students of grade 12 maths and students preparing for the NATA eligibility test in architecture

## SYSTEM OF EQUATIONS (MATRICES)

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NATA eligibility test for architecture

How do you solve a system of 3 equations in 3 unknowns? How do you find the inverse of a matrix?

Learn this and much more by watching this video. Here, we learn how to calculate the inverse of a 2 by 2 and 3 by 3 matrix. We learn about adjoint of a matrix and how it is used to solve a system of equation. We consider the cases of a unique solution, infinitely many solutions or inconsistency of the equations.

This video is useful for gradeÂ

How do you solve a system of 3 equations in 3 unknowns? How do you find the inverse of a matrix?

Learn this and much more by watching this video. Here, we learn how to calculate the inverse of a 2 by 2 and 3 by 3 matrix. We learn about adjoint of a matrix and how it is used to solve a system of equation. We consider the cases of a unique solution, infinitely many solutions or inconsistency of the equations.

This video is useful for grade