6: Sketching the Graph of a Function using Calculus Tools
- Page ID
- 121111
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The derivative of a function contains important information about the original function. In this chapter we focus on how properties of the first and second derivative can be used to help up refine curve-sketching techniques. The mathematics we develop in this chapter is used in a variety of applications, many found in Chapter 7.
- 6.2: Special Points on the Graph of a Function
- In this section we use tools of algebra and calculus to identify special points on the graph of a function. We first consider the zeros of a function, and then its critical points.
- 6.3: Sketching the Graph of a Function
- In Section 1.4, we used elementary reasoning about power functions to sketch the graph of simple polynomials. Now that we have learned more advanced calculus techniques, we can hone such methods to produce more accurate sketches of the graph of a function. We devote this section to illustrating some examples.