Math 30; Spring, 2016
Derivative Examples
Sect 1: Mon, Wed, Fri in BRH 214 at 8:00 - 8:50
and Thurs in BRH 204 at 8:00-8:50
and Thurs in BRH 204 at 8:00-8:50
Homework
HW 1 due Fri Feb 5
Sec 1.3, Pg 28
5,8,12,15,20,24,28,30,32,34,38
Sec 1.3, Pg 28
5,8,12,15,20,24,28,30,32,34,38
HW 2 due Wed Feb 10
Sec 1.4, Pg 35,36
5,8,14,17,20,22,24
Sec 1.4, Pg 35,36
5,8,14,17,20,22,24
HW 3 due Mon Feb 22
Sec 1.5, Pg 44,45
12-20 evens
Sec 1.6, Pg 55,56
12-16 evens
Sec 2.1, Pg 69
2-12 evens
Sec 1.5, Pg 44,45
12-20 evens
Sec 1.6, Pg 55,56
12-16 evens
Sec 2.1, Pg 69
2-12 evens
HW 4 due Wed Mar 9
Sec 2.3, Pg 84,85
3-8, 14-30 evens
Sec 2.4, Pg 94,95
8-28 evens
Sec 2.3, Pg 84,85
3-8, 14-30 evens
Sec 2.4, Pg 94,95
8-28 evens
Projects
Announcements
- Derivatives
- Be familiar with both Newton's and Leibniz's notation for a derivative.
- Calculate a derivative function algebraically using the limit definition
- Use shortcut rules to find the derivative of a function (Derivative Shortcut Rules)
- Implicit differentiation (Find the slope of the tangent line at a point for a curve that is not necessarily a function) Answers to worksheet on using implicit differentiation to calculate inverse trig derivatives
- logarithmic differentiation Answers to worksheet on logarithmic differentiation
- Be able to calculate second, third, etc. derivatives and know the notation for each.
- The Shape of a Curve
- Know how to find absolute max and min values on a closed interval
- Know how to find local max and min values on an open interval
- Know how to determine intervals of increase and decrease
- Know how to determine intervals of concavity
- Know what critical points tell you
- Know what inflection points are and how to find them
- Given information about critical points, inflection points, concavity, etc., be able to sketch a graph
- Know what the mean value theorem tells you
Handouts/Course Resources
- Course Syllabus
- About Me Info
- Intro to limits at \(\infty\)
- Practice with the definition of a limit at \(\infty\)
- Finding \(\displaystyle \lim_{x\to 1}\frac{\sin x}{x}\)
- Practice finding limits using limit laws
- List of Limit and Continuity Laws
- Introduction to the derivative
- Graphical Interpetations of the derivative
- Finding derivatives using the limit definiton (Solutions)
- Logarithmic Differentiation (Solutions)