2. Be sure to show your work for the following questions.
(a) (3 points) Let f (:3) = ;. Find the domain of f.
2:1: :32
Solution: A number :1: is in domain( f) if and only if V 2:1: :32 exists and is
Lucy Chen
NYU Supplement Writing
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Math for Econ I Homework Assignment 8
New York University
For Section 016: Due in class, Tuesday, November 10
For Section 001: Due in Recitation, Friday, November 13
Please write neat solutions for t
Math for Econ I Homework Assignment 4
New York University
For Section 016: Due in class, *Thursday, October 8*
For Section 001: Due in Recitation, Friday, October 9
Please write neat solutions for th
Math for Econ I Homework Assignment 5
New York University
For Section 016: Due in class, Tuesday, October 20
For Section 001: Due in Recitation, Friday, October 23
Please write neat solutions for the
Math for Econ I Homework Assignment 6
New York University
For Section 016: Due in class, Tuesday, October 27
For Section 001: Due in Recitation, Friday, October 30
Please write neat solutions for the
Math for Econ I Homework Assignment 6
New York University
For Section 016: Due in class, Tuesday, October 27
For Section 001: Due in Recitation, Friday, October 30
Please write neat solutions for the
Math for Econ I Homework Assignment 9
New York University
For Section 016: Due in class, Tuesday, December 1
For Section 001: Due in Recitation, Friday, December 4
Please write neat solutions for the
Rates of Change and Derivatives (6.1-6.4, 6.6)
Trush, Calculus I
February 3, 2015
Trush, Calculus I
Rates of Change and Derivatives (6.1-6.4, 6.6)
Overview
Key concept: f (a), called the derivative of
Transforming graphs and functions; inverses
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Transforming graphs and functions; inverses
Shifting graphs (5.1)
If we are given a function
Functions, and some applications
(4.1-4.5, 5.1 in MFE text; 1.1-1.2 in e-book)
Trush, Math for Econ 1
January 29, 2015
Trush, Math for Econ 1
Functions, and some applications(4.1-4.5, 5.1 in MFE text;
A variety of essential functions
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
A variety of essential functions
This PDF covers a variety of topics from chapters 4 and 5, along
with s
Continuity (7.8)
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Continuity (7.8)
Warm-up
Consider the function f graphed below.
limx4 f (x) and f (4) both exist, but arent equal.
(limx
Exponential and Logarithmic Fcns (6.10, 6.11)
Trush, Math for Economics 1
March 30, 2015
Trush, Math for Economics 1
Exponential and Logarithmic Fcns (6.10, 6.11)
Exponential Functions
Recall that if
Implicit Dierentiation (7.1)
Trush, Calculus I
March 30, 2015
Trush, Calculus I
Implicit Dierentiation (7.1)
Motivation
Sometimes we arent given y as an explicit function of x.
x 2 + y 2 = 1,
y 3 + 4x
Elasticity (7.7)
Trush, Math for Economics 1
April 7, 2015
Trush, Math for Economics 1
Elasticity (7.7)
Elasticity of demand: how does an increase in price aect the
demand for a product?
Relative chan
Higher-Order Derivatives (6.9)
Trush, Math for Economics 1
March 30, 2015
Trush, Math for Economics 1
Higher-Order Derivatives (6.9)
2nd derivative
Dierentiate f (x) to get the 2nd derivative of f , w
Limits (6.5)
Trush, Math for Econ 1
February 3, 2015
Trush, Math for Econ 1
Limits (6.5)
In order to understand the concept of a derivative (sections 6.2
through 6.4), we must understand limits.
Trush
Math for Econ I,Homework Assignment 3
Due Friday, October 3
New York University
Please write neat solutions for the problems below. Show all your work. If you only write the answer with no work,
you w
Continuity (7.8)
Jankowski, Math for Econ 1
September 22, 2014
Jankowski, Math for Econ 1
Continuity (7.8)
Warm-up
Consider the function f graphed below.
limx!4 f (x) and f (4) both exist, but arent e
Math for Econ I,Homework Assignment 2
Due Friday, September 26th
New York University
From our textbook, read sections 4.9, 4.10, 5.1, 5.2, and 5.3.
Please write neat solutions for the problems below.