Undefined Graph Example. Graphical Approach to Limits. Lets use the example of the line x 4 which is graphed above.
This gallery contains a collection of best practice code snippets together with their corresponding videoimage output illustrating different functionalities all across the library. Since you can use any two points to calculate the slope of the line we can then apply the slope formula using x_1y_1 41 and x_2 y_2 42. The rate of change is the rate at which y-values are changing with respect to the change in x-values.
Graph_scene MathTex setup_axes get_graph get_vertical_line_to_graph input_to_graph_point GraphAreaPlot.
For example has a critical point at since is zero at but does not have a local extremum at Using the results from the previous section we are now able to determine whether. Since you can use any two points to calculate the slope of the line we can then apply the slope formula using x_1y_1 41 and x_2 y_2 42. For example y sinx x tends towards y -. Since there exist no number you can multiply 0 by to get 3 we say that the slope is undefined.
