Calculus for Business,
Economics, the Social
and Life Sciences
Optimization;
Elasticity of
Demand
Section 3.4
Learning Objectives
Use the extreme value property to find
absolute extrema
Compute absolute extrema in applied
problems
Study optimization pr

Calculus for Business,
Economics, the Social
and Life Sciences
The Chain
Rule
Section 2.4
Learning Objectives
Discuss the chain rule
Use the chain rule to find and apply
derivatives
The Chain Rule
f (u)
u g(x)
If
is a differentiable
of u, and
f '(x) ffu

Calculus for Business,
Economics, the Social
and Life Sciences
Increasing and
Decreasing
Functions;
Relative
Extrema
Section 3.1
Learning Objectives
Discuss increasing and decreasing
functions
Define critical points and relative extrema
Use the first d

Calculus for Business,
Economics, the Social
and Life Sciences
Lines and
Linear
Functions
Section 1.3
Learning Objectives
Review properties of lines: slope,
horizontal and vertical lines, and forms for
the equation of a line
Solve applied problems invol

Calculus for Business,
Economics, the Social
and Life Sciences
Applying Definite
Integration:
Distribution of
Wealth
Section 5.4
Learning Objectives
Explore a general procedure for using
denite integration in applications
Find area between two curves, a

Calculus for Business,
Economics, the Social
and Life Sciences
Functions
Section 1.1
Learning Objectives
Identify the domain of a function, and
evaluate a function from an equation
Gain familiarity with piecewise-dened
functions
Introduce and illustrat

Calculus for Business,
Economics, the Social
and Life Sciences
The Definite
Integral and the
Fundamental
Theorem of
Calculus
Section 5.3
Learning Objectives
Show how area under a curve can be
expressed as the limit of a sum
Dene the denite integral and

Calculus for Business,
Economics, the Social
and Life Sciences
Logarithmic
Functions
Section 4.2
Learning Objectives
Define and explore logarithmic functions
and their properties
Use logarithms to solve exponential
equations
Examine applications involv

Calculus for Business,
Economics, the Social
and Life Sciences
One-Sided
Limits and
Continuity
Section 1.6
Learning Objectives
Compute and use one-sided limits
Explore the concept of continuity and
examine the continuity of several functions
Investigat

Calculus for Business,
Economics, the Social
and Life Sciences
Marginal
Analysis and
Approximation
Using
Increments
Section 2.5
Learning Objectives
Study marginal analysis in economics
Approximate derivatives using increments
and the differential
Deriva