MAT 1339 Chapter 3: chapter3.pdf

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1339
• Professor: Maryam Hosseini

Document Summary

To understand what it means for a function to be increasing or decreasing and the connection with the rst derivative. To understand what a critical number (or point) of a function is. To understand local and absolute extrema of functions and be able to nd and identify them using the first or second derivative tests and the closed interval method. To understand what it means for a function to be concave up or down and the connection with the second derivative. To be able to nd the points of in ection of a function. To be to recognize when the graph of a rational function would have vertical asymptotes and be able to identify them. To be able to sketch the graph of a function using the rst and second derivatives. To be able to use derivatives to solve optimization problems.