Technological University of the Philippines Visayas
computer
MATH 036

Fall 2015
Republic of the Philippines
TECHNOLOGICAL UNIVERSITY OF THE PHILIPPINES CAVITE CAMPUS
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ASSOCIATION OF COMPUTER TECHNOLOGY STUDENTS
OFFICERS
S.Y. 20162017
Maita F. Limbo
President
November 11, 2016
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Limits
Paul Dawkins
Calculus I
Table of Contents
Preface . ii
Limits . 2
Introduction . 3
Rates of Change and Tangent Lines . 4
The Limit .13
OneSided Limits .23
Limit Propertie
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Solutions to Practice Problems
Limits
Paul Dawkins
Calculus I
Table of Contents
Preface . 2
Limits . 2
Rates of Change and Tangent Lines. 2
The Limit .12
OneSided Limits .20
Limit Properties .
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Practice Problems
Limits
Paul Dawkins
Calculus I
Table of Contents
Preface. 1
Limits . 2
Introduction . 2
Rates of Change and Tangent Lines . 3
The Limit . 5
OneSided Limits. 7
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Derivatives
Paul Dawkins
Calculus I
Table of Contents
Preface . ii
Derivatives. 3
Introduction . 3
The Definition of the Derivative . 5
Interpretations of the Derivative .11
Differentiation Formulas .20
Product and Quotient Rule
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Solutions to Practice Problems
Derivatives
Paul Dawkins
Calculus I
Table of Contents
Preface . 1
Derivatives. 1
The Definition of the Derivative . 2
Interpretations of the Derivative .10
Differentiation Formulas .27
Product and Quotient Rule .4
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Practice Problems
Derivatives
Paul Dawkins
Calculus I
Table of Contents
Preface . 1
Derivatives. 2
Introduction . 2
The Definition of the Derivative . 3
Interpretations of the Derivative . 3
Differentiation Formulas . 6
Product and Quot
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
CALCULUS I
Assignment Problems
Derivatives
Paul Dawkins
Calculus I
Table of Contents
Preface. 1
Derivatives . 1
Introduction . 1
The Definition of the Derivative . 2
Interpretations of the Derivative. 4
Differentiation Formulas. 8
Product and
Technological University of the Philippines Visayas
computer
MATH 036

Summer 2015
Basic Concepts
of Integration
14.1
Introduction
When a function f (x) is known we can dierentiate it to obtain its derivative df . The reverse
dx
process is to obtain the function f (x) from knowledge of its derivative. This process is called
integration.