Chapter 3:
Applications of Derivatives
Lecture 3
By
Prof. Phan Quoc Khanh
Outline
1. Extreme-Value Problems
2. Linear Approximations
3. Taylors formula
12/17/2014
Prof. Phan Quoc Khanh
1. Extreme-Value Problems
1. Identify the unknown(s). Draw and label a

Parametric Curves and Their
Slopes
By
Prof. Phan Quoc Khanh
Prof. Phan Quoc Khanh
A parametric curve C in the plane consists
of an ordered pair (f, g) of continuous
functions defined on the same interval I.
The equations x = f (t ), y = g (t ), t I
are

Prof. Phan Quoc Khanh
Chapter 1: Functions, Limits and Continuity
Lecture 3: Limits of
Functions
By: Prof. Phan Quoc Khanh
hanh
Outline of Chapter 1
1.
2.
3.
4.
5.
6.
Real Numbers, Real Line and Cartesian
Coordinates
Functions and Graphs
Limits of Functio

Chapter 3:
Applications of Derivatives
L t
Lecture
1
By
Assoc.Prof. Mai Duc Thanh
Lecture Outline
1. Related Rates
2. Finding Roots of Equations
3 Indeterminate Forms and llHospitals
3.
Hospital s Rule
11/16/2013
Assoc.Prof. Mai Duc Thanh
1. Related Rates

Chapter 2: Derivatives and
Differentials
Lecture 1: Derivatives
By
Prof. Phan Quoc Khanh
11/09/16
Prof. Phan Quoc Khanh
Outline
1. Tangent Lines and Rates of Changes
2. The Derivative, Differentials
3. Higher-Order Derivatives
4. Velocity and Acceleration

Chapter 1: Functions, Limits and Continuity
Lecture 5: Continuity
By
Prof. Phan Quoc Khanh
Outline of Chapter 1
1. Real Numbers, Real Line and Cartesian
Coordinates
2. Functions and Graphs
3. Limits of Functions
4. Limits at Infinity and Infinite Limits
5

Chapter 1: Functions, Limits and Continuity
Lecture 2: Functions and
Graphs
By
Prof. Phan Quoc Khanh
Outline of Chapter 1
1. Real Numbers, Real Line and Cartesian
Coordinates
2. Functions and Graphs
3. Limits of Functions
4. Limits at Infinity and Infinit

Chapter 4: Analytical Geometry I
Lecture 1: Conics in Cartesian
Coordinates
Conics
Circles, ellipses, parabolas, and hyperbolas are called conic sections, or conics
A conic = intersection of a right-circular cone and a plane
Let V be a point on a line A.

Chapter 1: Functions, Limits and Continuity
Lecture 1: Real Numbers
and Real Line
By
Prof. Phan Quoc Khanh
Course Information
Lecturer: Prof. Phan Quoc Khanh
Phone: 091 391 7147
E-Mail Address: pqkhanh@hcmiu.edu.vn
Textbooks (The first book is the main

Chapter 1: Functions, Limits and Continuity
Lecture 4: Limits at Infinity
and Infinite Limits
By: Prof. Phan Quoc Khanh
Outline of Chapter 1
1. Real Numbers, Real Line and Cartesian
Coordinates
2. Functions and Graphs
3. Limits of Functions
4. Limits at I

Polar Coordinates, Polar
Curves and Polar Conics
By
Prof. Phan Quoc Khanh
P
O
Polar Coordinate System
In the polar coordinate system, there is
An origin (or pole) O
A polar axis: a ray (i.e., a half-line) extending from O
horizontally to the right
Pos

Chapter 3:
Applications of Derivatives
Lecture 2
By
Prof. Phan Quoc Khanh
Lecture Outline
1. Extreme Values
2. Concavity and Inflections
3. Sketching Graph of a Function
12/17/2014
Prof. Phan Quoc Khanh
1. Maximum and Minimum Values
A function f has an ab