## Math 130-03: Information for Test 2

The second test in this course is on Friday, March 23. It will cover Labs 4 through 7; Chapter 2, Sections 3 through 5; and Chapter 3, Sections 1 through 5. A significant part of what you need to know for the test is the list of differentiation formulas that we have encountered. Here is a list of formulas. In this list, is a constant and and are functions.

Here are some other terms and ideas that you need to know:

epsilon-delta definition of limit continuity at a point continuity on an interval continuity from the left or from the right discontinuities Intermediate Value Theorem limits involving trigonometric functions secant lines and tangent lines average velocity on an interval instantaneous velocity on an interval the derivative formal definition of the derivative as a limit relationship of derivative to slopes of tangent lines relationship of derivative to instantaneous velocity instantaneous rate of change derivative as rate of change various notations for derivative second derivative, third derivative, etc. differentiability at a point differentiability on an interval differentiability from the left or right nondifferentiability differentiability implies continuity various rules for finding the derivative marginal tax rate zooming in on a function to find a derivative value relating the graphs of and of