The spinoff of a bell-shaped operate, also referred to as a Gaussian operate or regular distribution, is a mathematical operate that describes the speed of change of the operate. The graph of the spinoff of a bell-shaped operate is a parabola that opens downward. The vertex of the parabola is on the level of inflection of the unique operate. The x-intercepts of the parabola are the factors the place the unique operate has a most or minimal.
To graph the spinoff of a bell-shaped operate, first discover the important factors of the unique operate. These are the factors the place the primary spinoff is the same as zero. The important factors will divide the x-axis into intervals. On every interval, the unique operate will probably be both growing or lowering. The spinoff of the unique operate will probably be constructive on the intervals the place the operate is growing and damaging on the intervals the place the operate is lowering.
After you have discovered the important factors, you’ll be able to graph the spinoff of the unique operate. The graph will probably be a parabola that opens downward. The vertex of the parabola will probably be on the level of inflection of the unique operate. The x-intercepts of the parabola would be the factors the place the unique operate has a most or minimal.
How To Graph The By-product Of A Bell Formed Operate
The spinoff of a bell formed operate is a graph that reveals the speed of change of the operate. To graph the spinoff of a bell-shaped operate, you first want to search out the spinoff of the operate. After you have the spinoff, you’ll be able to plot it on a graph.
The graph of the spinoff of a bell-shaped operate will sometimes be a parabola. The parabola can have a vertex on the level the place the spinoff is the same as zero. The parabola will even have two branches, one which opens up and one which opens down. The branches of the parabola will probably be symmetric with respect to the vertex.
The next steps will assist you to graph the spinoff of a bell-shaped operate:
- Discover the spinoff of the operate.
- Plot the spinoff on a graph.
- Discover the vertex of the parabola.
- Draw the branches of the parabola.
Individuals Additionally Ask
How do you discover the spinoff of a bell-shaped operate?
To search out the spinoff of a bell-shaped operate, you should use the next steps:
- Discover the primary spinoff of the operate.
- Set the primary spinoff equal to zero.
- Remedy for the worth of x.
- The worth of x that you just discover is the vertex of the parabola.
How do you graph the spinoff of a bell-shaped operate?
To graph the spinoff of a bell-shaped operate, you should use the next steps:
- Plot the vertex of the parabola on the graph.
- Draw the branches of the parabola.
- The branches of the parabola ought to be symmetric with respect to the vertex.
