Explore the Calculus Grapher: Derivative & Integral
Draw a function and see its derivative, or draw the derivative and see the function. Free, no signup, runs in your browser.
- Free to use
- No signup
- Nothing to install
- Runs in your browser
Illustration. Open the tool for the real thing.
See it in action
The Calculus Grapher: Derivative & Integral with sample data entered and the result showing.
What is the Calculus Grapher: Derivative & Integral?
Draw a function and see its derivative, or draw the derivative and see the function. It runs in your browser, so a change to a setting or a drag on an object shows up at once.
Physics, economics and engineering use derivatives for rates and integrals for totals.
3 steps to your result
Open the tool and follow along. Nothing to install.
What you get
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.
Draw a hill and look at the slope graph.
Switch to drawing f'(x).
Start from the sine preset.
Used for
Pick one to see how it fits.
Math learners
Algebra, geometry, trigonometry and calculus students, teachers preparing demonstrations, and self-learners who want to see the maths move.
Try it freeTeachers
For teachers: project the Calculus Grapher: Derivative & Integral on the board, let students predict the result, then run it together and test this: Switch to drawing f'(x). For students: change one thing at a time and write down what changes.
Try it freeHow it compares
A plain look at this tool next to the usual alternative.
| This simulation | Textbook diagram | |
|---|---|---|
| Interactive | Drag, tap and change settings | Fixed picture |
| Install | Nothing to install | Not needed |
| Cost | Free to use | Depends on the book |
Questions people ask
What does the derivative tell you?
How fast the function is changing at each point: its slope.
How are derivatives and integrals related?
They are inverse operations (the fundamental theorem of calculus).
Is the Calculus Grapher: Derivative & Integral free to use?
Yes. The Calculus Grapher: Derivative & Integral is free, needs no signup or download and runs in your web browser. It is part of the Math group of AZRS simulations.
Does the Calculus Grapher: Derivative & Integral work on a phone or tablet?
Yes. The Calculus Grapher: Derivative & Integral takes touch input as well as mouse input, so you can use its 3 adjustable settings with a finger. A larger screen makes the controls and graphs easier to read.
How do I use the Calculus Grapher: Derivative & Integral?
1. In the Calculus Grapher: Derivative & Integral, use the controls to change You draw, Start from, Tangent line. The simulation reacts instantly. 2. In the Calculus Grapher: Derivative & Integral, pick an option such as f(x) → see f'(x), f'(x) → see f(x), Parabola, Sine to switch modes or load an example. 3. In the Calculus Grapher: Derivative & Integral, press "Smooth curve" to start, reset or change what is happening. 4. Start with this experiment: Draw a hill and look at the slope graph. Drag any glowing handle, object or slider with your mouse or finger and the Calculus Grapher: Derivative & Integral responds in real time. 5. Change one setting at a time and watch which readout moves, then compare it with this idea: The derivative is the slope of the function.
More free tools
Related to the Calculus Grapher: Derivative & Integral.
Try the Calculus Grapher: Derivative & Integral now
Draw a function and see its derivative, or draw the derivative and see the function. Free to use.
Try it free