Abstract
Consider the graph of \(f(x)=x^3-3003x^2+3006000x\) in figure 17.1. Can we conclude the function does not have any local maximums, local minimums, or inflection points? If we think we do not have the correct window (domain and range of the graph) how do we decide what window to use? In this chapter we will use the derivative, both the first and second, to completely understand the shape of a graph.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Pfaff, T.J. (2023). How Do We Know the Shape of a Function?. In: Applied Calculus with R. Springer, Cham. https://doi.org/10.1007/978-3-031-28571-4_17
Download citation
DOI: https://doi.org/10.1007/978-3-031-28571-4_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-28570-7
Online ISBN: 978-3-031-28571-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)