2.6 Tangent Lines and Their Slopes
By the end of your studying, you should know:
On-screen applet instructions: Note that the tangent line is the dotted blue line. Use the slider to control the position of the point Q (hence the secant line and its slope m).
ExamplesCan you find a tangent line to f(x) = |x| at x = 0?
A practice ski jump hill follows the shape of a given curve. Come up with a formula for the angle the skier's skis make with the horizontal, and find how far from the top of the jump he is when this angle is the greatest.
AppletsSecant and Tangent Lines
VideosSee short videos of worked problems for this section.
ExercisesSee Exercises for 2.6 Tangent Lines and Their Slopes (PDF).
Work online to solve the exercises for this section, or for any other section of the textbook.
Resources on the WebInformation on Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel