Calculus Grapher: Derivative & Integral Community
Questions, answers and tips from people who use the Calculus Grapher: Derivative & Integral. Draw a function and see its derivative, or draw the derivative and see the function..
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From the tool guide: common questions about Calculus Grapher: Derivative & Integral
The items below are not posts by community members. They come from the written guide for this tool and are here to get a conversation started. Use “Ask a follow-up” to open a thread about any of them.
What does the derivative tell you?
How fast the function is changing at each point: its slope.
From the tool guide Ask a follow-upHow are derivatives and integrals related?
They are inverse operations (the fundamental theorem of calculus).
From the tool guide Ask a follow-upKey ideas
- The derivative is the slope of the function.
- Where the function has a peak, the derivative is zero.
- The integral is the area under the derivative.
- Derivative and integral undo each other.
Things to try
- Draw a hill and look at the slope graph.
- Switch to drawing f'(x).
- Start from the sine preset.
Where this is used
Physics, economics and engineering use derivatives for rates and integrals for totals.
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