Tangent Lines to Basic Functions

Tangent Lines to Basic Functions
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2016-05-01 00:50
This example demonstrates how to draw tangent lines for the same set of basic functions. It involves core math concepts like functions, tangent lines, derivatives, and slopes. Construction uses GeoGebra commands If and Slope, along with objects a, b, c, d, g, h, e, f, f_1, f_2, f_3, f_4, f_5, f_6, f_7, f_8, k, K, l, m, text1. Suitable for high school and above students to understand the relationship between function graphs and tangent lines.

GeoGebra Commands & Parameters

  1. If(a, Tangent[K, f_1], If[b, Tangent[K, f_2], If[c, Tangent[K, f_3], If[d, Tangent[K, f_4], If[e, Tangent[K, f_5], If[f, Tangent[K, f_6], If[g, Tangent[K, f_7], If[h, Tangent[K, f_8]]]]]]]]) → l
  2. Slope(l) → m