Application Of Derivatives | Rate Of Change Of Quantities lesson Plan and Notes :: Danielitte

Maths ( 104-12 )

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Relations And Functions

Introduction

Introduction
Notes PPT MCQs

Types Of Relations

Types Of Relations
Notes PPT MCQs

Types Of Functions

Types Of Functions
Notes PPT MCQs

Composition Of Functions And Invertible Functions

Composition Of Functions And Invertible Functions
Notes PPT MCQs

Binary Operations

Binary Operations
Notes PPT MCQs

Inverse Trigonometric Functions

Introduction

Introduction
Notes PPT MCQs

Basic Concepts

Basic Concepts
Notes PPT MCQs

Properties Of Inverse Trigonometric Functions

Properties Of Inverse Trigonometric Functions
Notes PPT MCQs

Examples
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Matrices

Introduction

Introduction
Notes PPT MCQs

Matrix

Matrix
Notes PPT MCQs

Order Of A Matrix
Notes PPT MCQs

Types Of Matrices

Types Of Matrices
Notes PPT MCQs

Equality Of Matrices
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Operation On Matrices

Addition Of Matrices
Notes PPT MCQs

Multiplication Of A Matrix By A Scalar
Notes PPT MCQs

Properties Of Matrix Addition
Notes PPT MCQs

Properties Of Scalar Multiplication Of A Matrix
Notes PPT MCQs

Multiplication Of Matrices
Notes PPT MCQs

Properties Of Multiplication Of Matrices
Notes PPT MCQs

Transpose Of A Matrix

Properties Of Transpose Of The Matrices
Notes PPT MCQs

Symmetric And Skew Symmetric Matrices

Symmetric And Skew Symmetric Matrices
Notes PPT MCQs

Elementary Operations Of A Matrix

Elementary Operations Of A Matrix
Notes PPT MCQs

Invertible Matrices

Invertible Matrices
Notes PPT MCQs

Inverse Of A Matrix By Elementary Operations
Notes PPT MCQs

Determinants

Introduction

Introduction
Notes PPT MCQs

Determinant

Determinant Of A Matrix Of Order One
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Determinant Of A Matrix Of Order Two
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Determinant Of A Matrix Of Order 3 X 3
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Properties Of Determinants

Properties Of Determinants
Notes PPT MCQs

Area Of A Triangle

Area Of A Triangle
Notes PPT MCQs

Minors And Cofactors

Minors And Cofactors
Notes PPT MCQs

Adjoint And Inverse Of A Matrix

Adjoint Of A Matrix
Notes PPT MCQs

Application Of Determinants And Matrices

Solution Of System Of Linear Equations Using Inverse Of A Matrix
Notes PPT MCQs

Continuity And Differentiability

Introduction

Introduction
Notes PPT MCQs

Continuity

Continuity
Notes PPT MCQs

Algebra Of Continuous Functions
Notes PPT MCQs

Differentiability

Differentiability
Notes PPT MCQs

Derivatives Of Composite Functions
Notes PPT MCQs

Derivatives Of Implicit Functions
Notes PPT MCQs

Derivatives Of Inverse Trigonometric Functions
Notes PPT MCQs

Exponent And Logarithmic Functions

Exponent And Logarithmic Functions
Notes PPT MCQs

Logarithmic Differentiation

Logarithmic Differentiation
Notes PPT MCQs

Derivatives Of Functions In Parametric Forms

Derivatives Of Functions In Parametric Forms
Notes PPT MCQs

Second Order Derivative

Second Order Derivative
Notes PPT MCQs

Mean Value Theorem

Mean Value Theorem
Notes PPT MCQs

Application Of Derivatives

Introduction

Introduction
Notes PPT MCQs

Rate Of Change Of Quantities

Rate Of Change Of Quantities
Notes PPT MCQs

Increasing And Decreasing Functions

Increasing And Decreasing Functions
Notes PPT MCQs

Tangents And Normals

Tangents And Normals
Notes PPT MCQs

Approximations

Approximations
Notes PPT MCQs

Maxima And Minima

Maxima And Minima
Notes PPT MCQs

Maximum And Minimum Values Of A Function In A Closed Interval
Notes PPT MCQs

Integrals

Introduction

Introduction
Notes PPT MCQs

Integration As An Inverse Process Of Differentiation

Integration As An Inverse Process Of Differentiation
Notes PPT MCQs

Geometrical Interpretation Of Indefinite Integral
Notes PPT MCQs

Some Properties Of Indefinite Integral
Notes PPT MCQs

Comparison Between Differentiation And Integration
Notes PPT MCQs

Methods Of Integration

Integration By Substitution
Notes PPT MCQs

Integration Using Trigonometric Identities
Notes PPT MCQs

Integrals Of Some Particular Functions

Integrals Of Some Particular Functions
Notes PPT MCQs

Integration By Partial Fractions

Integration By Partial Fractions
Notes PPT MCQs

Integration By Parts

Integration By Parts
Notes PPT MCQs

Integral Of The Type
Notes PPT MCQs

Integrals Of Some More Types
Notes PPT MCQs

Definite Integral

Definite Integral As The Limit Of Sum
Notes PPT MCQs

Fundamental Theorem Of Calculus

Area Function
Notes PPT MCQs

First Fundamental Theorem Of Integral Calculus
Notes PPT MCQs

Second Fundamental Theorem Of Integral Calculus
Notes PPT MCQs

Evaluation Of Definite Integrals By Substitution

Evaluation Of Definite Integrals By Substitution
Notes PPT MCQs

Some Properties Of Definite Integrals

Some Properties Of Definite Integrals
Notes PPT MCQs

Application Of Integrals

Introduction

Introduction
Notes PPT MCQs

Area Under Simple Curve

Area Under Simple Curve
Notes PPT MCQs

The Area Of The Region Bounded By A Curve And A Line
Notes PPT MCQs

Area Between Two Curves

Area Between Two Curves
Notes PPT MCQs

Differential Equations

Introduction

Introduction
Notes PPT MCQs

Basic Concepts

Basic Concepts
Notes PPT MCQs

Order Of A Differential Equation
Notes PPT MCQs

Degree Of Differential Equation
Notes PPT MCQs

Procedure To Form A Differential Equation That Will Represent A Given Family Of Curves
Notes PPT MCQs

General And Particular Solutions Of A Differential Equations

General And Particular Solutions Of A Differential Equations
Notes PPT MCQs

Formation Of A Differential Equation Whose General Solution Is Given

Formation Of A Differential Equation Whose General Solution Is Given
Notes PPT MCQs

Methods Of Solving First Order, First Degree Differential Equations

Differential Equation With Variable Separable
Notes PPT MCQs

Homogeneous Differential Equations
Notes PPT MCQs

Linear Differential Equations
Notes PPT MCQs

Vector Algebra

Introduction

Introduction
Notes PPT MCQs

Some Basic Concepts

Types of vectors
Notes PPT MCQs

Types Of Curves

Types Of Curves
Notes PPT MCQs

Addition Of Vectors

Addition Of Vectors
Notes PPT MCQs

Multiplication Of A Vector By A Scalar

Multiplication Of A Vector By A Scalar
Notes PPT MCQs

Vector joining two points
Notes PPT MCQs

Section Formula
Notes PPT MCQs

Section Formula
Notes PPT MCQs

Product Of Two Vectors

Scalar Product Of Two Vectors
Notes PPT MCQs

Projection Of A Vector On A Line
Notes PPT MCQs

Vector/cross product
Notes PPT MCQs

Three Dimensional Geometry

Introduction

Introduction
Notes PPT MCQs

Direction Cosines And Direction Ratios Of A Line

Direction Cosines And Direction Ratios Of A Line
Notes PPT MCQs

Relation Between The Direction Cosines Of A Line
Notes PPT MCQs

Direction Cosines Of A Line Passing Through Two Points
Notes PPT MCQs

Equation Of A Line Space

Equation Of A Line Through A Given Point And Parallel To A Given Vector
Notes PPT MCQs

Equation Of A Line Passing Through Two Given Points
Notes PPT MCQs

Angle Between Two Lines

Angle Between Two Lines
Notes PPT MCQs

Shortest Distance Between Two Lines

Shortest Distance Between Two Lines
Notes PPT MCQs

Distance Between Two Skew Lines
Notes PPT MCQs

Distance Between Two Parallel Lines
Notes PPT MCQs

Plane

Equation Of A Plane In Normal Form
Notes PPT MCQs

Equation Of A Plane Perpendicular To A Given Vector And Passing Through A Given Point
Notes PPT MCQs

Equation Of A Plane Passing Through Three Non Collinear Points
Notes PPT MCQs

Intercept Form Of The Equation Of A Plane
Notes PPT MCQs

Plane Passing Through The Intersection Of Two Given Planes
Notes PPT MCQs

Coplanarity Of Two Lines

Coplanarity Of Two Lines
Notes PPT MCQs

Angle Between Two Planes

Angle Between Two Planes
Notes PPT MCQs

Distance Of A Point From A Plane

Distance Of A Point From A Plane
Notes PPT MCQs

Angle Between A Line And A Plane

Angle Between A Line And A Plane
Notes PPT MCQs

Linear Programming

Introduction

Introduction
Notes PPT MCQs

Linear Programming Problem And Its Mathematical Formulation

Mathematical Formulation Of The Problem
Notes PPT MCQs

Graphical Method Of Solving Linear Programming Problems
Notes PPT MCQs

Different Types Of Linear Programming Problems

Different Types Of Linear Programming Problems
Notes PPT MCQs

Probability

Introduction

Introduction
Notes PPT MCQs

Conditional Probability

Conditional Probability
Notes PPT MCQs

Properties Of Conditional Probability
Notes PPT MCQs

Multiplication Theorem On Probability

Multiplication Theorem On Probability
Notes PPT MCQs

Independent Events

Independent Events
Notes PPT MCQs

Bayes' Theorem

Partition Of A Sample Space
Notes PPT MCQs

Theorem Of Total Probability
Notes PPT MCQs

Random Variables And Its Probability Distributions

Random Variables And Its Probability Distributions
Notes PPT MCQs

Probability Distribution Of A Random Variable
Notes PPT MCQs

Mean Of A Random Variable
Notes PPT MCQs

Variance Of A Random Variable
Notes PPT MCQs

Bernoulli Trials And Binomial Distribution

Bernoulli Trials
Notes PPT MCQs

Binomial Distribution
Notes PPT MCQs

Shape

Shape

Shape

Shape

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Rate Of Change Of Quantities

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