Chapter+3

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=Chapter 3: Derivatives:=

Section 3.1: Derivative of a Function
Key Concepts:
 * Definition of a derivative
 * Notation
 * Relationship between the graphs of //f// and //f'//
 * Graphing the derivative from data
 * One-sided derivatives
 * Assignment: Pg 105: 1-23 odd, 24-27, 29, 31, 33, 34**
 * Due: 10/23/2012 not accepted after 10/24/2012 **

Bonus: Limit Definition of Derivatives: [[file:Bonus_ Limit Definition of Derivative.pdf]]

 * Due: 10/26/2012 **

Section 3.2: Differentiability
Key Concepts:
 * How //f'(a)// might fail to exist
 * Differentiability implies local linearity
 * Derivatives on a calculator
 * Differentiability implies continuity
 * Intermediate value theorem for derivatives
 * Assignment: Pg 114: 1-35 odd, 38**
 * Due: 10/25/2012 not accepted after 10/26/2012 **

Section 3.3: Rules for Differentiation
Key Concepts:
 * Positive integer powers, multiples, sums, and differences
 * Products and quotients
 * Negative integer powers of //x//
 * Second and higher order derivatives
 * Assignment: Pg 124: 1-33 odd, 38, 40, 46, 47**
 * Due: 11/1/2012 not accepted after 11/2/2012 **

Section 3.4: Velocity and Other Rates of Change
Key Concepts:
 * Instantaneous rates of change
 * Motion along a line
 * Sensitivity to change
 * Derivatives in economics
 * Assignment: Pg 135: 1, 9, 10, 14, 15, 18, 19, 21, 24, 25, 27, 32, 34, 35, 38, 47**
 * Due: 11/5/2012 not accepted after 11/6/2012 **

Section 3.5: Derivatives of Trigonometric Functions
Key Concepts:
 * Derivative of the sine function
 * Derivative of the cosine function
 * Simple harmonic motion
 * Jerk
 * Derivatives of other basic trigonometric functions
 * Assignments: Pg 146: 3-37 odds, 43**
 * Due: 11/8/2012 not accepted after 11/9/2012 **

Section 3.6: Chain Rule
Key Concepts:
 * Derivative of a composite function
 * "Outside-inside" rule
 * Repeated use of the chain rule
 * Slopes of parametrized curves
 * Power chain rule
 * Assignments: Pg 153: 3-66 (3rds)**
 * Due: 11/13/2012 not accepted after 11/14/2012 **

Graded Homework: Section 3.6: [[file:3.6 Graded Homework (Student).pdf]]

 * Due: 11/14/2012 not accepted after 11/15/2012 **

Bonus: Power/Product/Quotient/Chain Rules: [[file:Bonus_ Power_Product_Quotient_Chain Rules.pdf]]

 * Due: 11/16/2012 **

Section 3.7: Implicit Differentiation
Key Concepts:
 * Implicitly defined functions
 * Lenses, tangents, and normal lines
 * Derivatives of higher order
 * Rational powers of differentiable functions
 * Assignments: Pg 162: 3-48 (3rds), 54**
 * Due: 11/15/2012 not accepted after 11/16/2012 **

Section 3.8: Derivatives of Inverse Trigonometric Functions
Key Concepts:
 * Derivatives of inverse functions
 * Derivative of the arcsine
 * Derivative of the arctangent
 * Derivative of the arcsecant
 * Derivatives of the other three
 * Assignments: Pg 170: 3-45 (3rds)**
 * Due: 11/26/20112 not accepted after 11/27/2012 **

Thanksgiving Break Packet: [[file:Thanksgiving Packet.pdf]]

 * Due: 11/27/2012 **

Section 3.9: Derivatives of Exponential and Logarithmic Functions
Key Concepts:
 * Derivative of //e^x//
 * Derivative of //a^x//
 * Derivative of //ln x//
 * Derivative of //log x//
 * Power rule for arbitrary real powers
 * Assignments: Pg 178: 3-48 (3rds), 53**
 * Due: 11/29/2012 not accepted after 11/30/2012 **

Section 3.8-3.9 Graded HW: [[file:3.8-3.9 Graded Worksheet.pdf]]
**Due:** **11/30/2012**