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Course: Calculus I
Topic: Analysis of Curves
Subtopic: Curve Sketching

Overview

The goal today is to pull all the information obtained from the first and second derivatives including CPs, IPs, relative extrema, increasing/decreasing, concavity, etc. together and use it to accurately sketch the function "by hand".

Objectives

By the end of this topic you should know and be prepared to be tested on:

Mini-Lectures and Examples

STUDY: Curve Sketching & Fun with Reform Calculus

Supplementary Resources (recommended)

My Template for Curve Sketching can be used to compile all the information about a function obtained from f, f', and f'' so that it can be sketched and analyzed.

Supplementary Resources (optional)

Video: Curve Sketching, Selwyn Hollis's Video Calculus

Examples: Calculus: Applications of the Derivative - Asymptotes from Math24 has lots of interesting examples of using limits to find asymptotes.

rev. 2020-11-07