Math 101: Section 2.6
Dierentiability
Section 2.6: Dierentiability
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Denitions
A function f : D
Math 101: Section 2.6
Name: .
Section 2.6: Tangents and Velocities
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Three Limits
Calculate the slop
Math 101: Section 1.6
Name: .
Section 1.6: Inverse Functions and Logarithms
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Inverse Functions
Theo
Math 101: Section 1.5
Name: .
Section 1.5: Exponential Functions
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Dening 2x
n
Dene 2 for integer n.
Math 101: Section 7
Name: .
Section 2.7: Derivatives
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
The Derivative
The derivative of f at the poi
Math 101: Section 1.1
Name: .
Section 1.2: Functions and Models
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
A Catalog of Functions
Here is a c
Math 101: Section 1.3
Name: .
Section 1.3: New Functions from Old
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Combinations of Functions
f + g,
Math 101: Section 1.4
Name: .
Section 1.4: Graphing with a Computer Algebra System
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Graphing with a
Math 101: Section 2.5
Name: .
Section 2.5: Limits Involving Innity
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Innite Limits and Limits at Inn
Math 101: Section 3.1
Name: .
Section 3.1: Derivatives of Polynomials and Exponential Functions
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Ke
Math 101: Section 2.1
Name: .
Section 2.1: The Tangent and Velocity Problems
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Tangent Lines
A funda
Math 101: Section 2.4
Name: .
Section 2.4: Continuity
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Continuity
A function f is continuous at a n
Math 101: Section 2.3
Name: .
Section 2.3: Calculating Limits Using the Limit Laws
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Limits
The noti
Math 101: Section 1.7
Name: .
Section 1.7: Parametric Equations
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Parametric Equations
Parametric cu
Math 101: Section 1.1
Name: .
Section 1.1: Function Representations
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Denitions
A function f : D R i
Math 101: Section 1.6
Powers, Polynomials, and Rational Functions
1.6 Powers, Polynomials, and Rational Functions
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley
Math 101: Section 1.5
Trigonometric Functions
1.5 Trigonometric Functions
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Concepts
(a) radians
Math 101: Section 1.3
New Functions from Old
1.3 New Functions from Old
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Combinations of Functi
Math 101: Section 1.1
Functions and Change
Section 1.1: Functions and Change
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Denitions
A funct
Math 101: Section 1.2
Exponential Functions
1.2 Exponential Functions
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
The General Exponential
Math 101: Section 1.4
Logarithmic Functions
1.4 Logarithmic Functions
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Inverse Functions
Theore
Math 101: Section 2.1
How Do We Measure Speed?
Section 2.1: How Do We Measure Speed?
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Tangent L
Math 101: Section 2.2
The Derivative at a Point
Section 2.2: The Derivative at a Point
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Three L
Math 101: Section 2.5
The Second Derivative
Section 2.5: The Second Derivative
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
What Does f say
Math 101: Section 2.4
Interpretations of the Derivative
Section 2.4: Interpretations of the Derivative
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc
Math 101: Section 1.7
Introduction to Continuity
1.7 Introduction to Continuity
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Continuity
A f
Math 101: Section 1.8
Limits
1.8 Limits
These notes reect material from our text, Calculus: Single Variable, Fifth Edition, by Hughes-Hallett,
Gleason, McCallum, et al., John Wiley & Sons, Inc., 2009.
Limits
The notion of the limit of f (x) as x approache
Math 101: Section 2.2
Name: .
Section 2.2: The Limit of a Function
These notes reect material from our text, Calculus, Concepts and Contexts, Third Edition, by James
Stewart, published by Brooks/Cole, Pacic Grove, CA, 2005.
Limits
The notion of the limit