June 2014
Beginner to intermediate
384 pages
8h 24m
English
Content preview from Calculus For Dummies, 2nd Edition
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Chapter 13
More Differentiation Problems: Going Off on a Tangent
In This Chapter
Tangling with tangents
Negotiating normals
Lining up for linear approximations
Profiting from business and economics problems
In this chapter, you see three more applications of differentiation: tangent and normal line problems, linear approximation problems, and economics problems. The common thread tying these problems together is the idea of a line tangent to a curve — which should come as no surprise since the meaning of the derivative of a curve is the slope of the tangent line.
Tangents and Normals: Joined at the Hip
By now you know what a line tangent to a curve looks like — if not, one or both of us has definitely dropped the ball. A normal line is simply a line perpendicular to a tangent line at the point of tangency. Problems involving tangents and normals are common applications of differentiation.
The tangent line problem
I bet there have been several times, just in the last month, when you’ve wanted to determine the location of a line through a given point that’s tangent to a given curve. ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.