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

__HW 2 due Wed Feb 10__

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

__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

Projects

Announcements

**Test 2**

- 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)