Lesson: Curve Sketching
In this video, we look at a very detailed example of how to do curve sketching. I outline all of the steps for you in this somewhat complicated (though typical) example.
Quick References
1:42 Step 1 - determine the domain/symmetry
3:19 Step 2 - determine any asymptotes
6:05 Step 3 - find the first and second derivatives
8:18 Step 4 - find any critical points
9:54 Step 5 - determine the intervals of increasing/decreasing and and max/mins
11:54 Step 6 - determine the concavity and inflection points
13:28 Step 7 - sketch the curve
This video also references these videos:
Determining intervals of increasing/decreasing and max/mins: • Lesson: Increasing and Decreasing Fun...
Determining concavity and inflection points: • Lesson: Concavity and the Second Deri...
How to find oblique asymptotes: • Video
More free math help at DivideAndConquerMath.com.
Check out the playlist of applications of derivatives here: • Lesson: Extreme Values on Closed Inte...
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