Monday, July 20, 2009

calculus - derivative


This sketch shows the tangent line to a function at a moveable point a. The slope of the tangent line is depicted as a length, which reveals the visual connection to the derivative f'(x). As a is moved around, the slope/derivative can be observed with or without tracing. The sketch includes linear, quadratic, cubic, quartic, and sine functions, but the function can be redefined easily on any of the pages.

Keywords: calculus, derivative, differentiation, slope, gradient, rate

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