Detailed method of drawing function tangent on geometric sketchpad

Want to draw function tangents, but can’t find an effective way? Today, PHP editor Xigua brings you a detailed method of drawing function tangent lines on the geometric sketchpad, and guides you step by step to draw accurate and clear function tangent lines. Continue reading this article to learn how to accomplish this task with ease!

1. Draw the graph of the function [f(x)=x3-5x-2]. Select [Draw] - [Draw New Function], and enter [x], [^], [3], [-], [5], [x], [-], [2] in the function editor. , the function [f(x)=x3-5x-2] image will appear automatically.

2. Create a derivative function. Right-click the analytical expression of the function and select [Define Derivative Function]. The analytical expression of the derivative function [f’(x)=3x2 (-5)] appears.

3. Construct a point on the function image and measure the abscissa. Use the point tool to construct a point A on the function graph, select A, and select [Metric] - [Abscissa].

4. Edit function. Select [Drawing] - [Draw New Function], click the original function f(x) in the drawing area of ​​the sketchpad into the editor, and click the abscissa coordinate xA of point A into the function brackets; enter [ ] to move the drawing area Click the derivative function f'(x) in the editor, and click the abscissa coordinate xA of point A into the function brackets; enter [*], [(], [)], and enter [x-xA] within the brackets. 【Sure】. as the picture shows.

5. The function tangent is as shown in the figure.

The tangent of the function image constructed by this method can move point A to achieve the effect of tangent follow-up.

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