Monday, March 21, 2011

The Geometry of Derivative

Move point Q towards point P.


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com


As Q approaches P,

1.) What do you observe about the inclination of the secant line in relation to the inclination of the tangent line?
2.) What do observe about the value of h?
3.) What do you observe about the value of the slope of the secant line?
4.) What happens to the value of h and the slope of the tangent line if Q coincides with P?

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