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MATHEMATICS MISSIONS / CHALLENGE 10

Derivative & Tangent Simulator

Connect the derivative at a point with the slope of the tangent line.

YOUR MATH BADGES0 / 12Problem solver
TANGENT TRACKERManipulate. Predict. Prove it visually.+1 MATH BADGE
LIVE MATHEMATICAL MODELREADY
f(x)=x²Exact tangent slope 2.000 · your estimate 1.00
Point x1.0
Exact derivative2.000
Your slope1.00
The graph uses equal coordinate scale where geometry requires it. Values update directly from the displayed equations.
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Free online derivative tangent line simulator

Derivative & Tangent Simulator: experiment guide

This browser-based simulation helps you connect the derivative at a point with the slope of the tangent line. Designed for Grades 7–12, it turns an abstract idea into a model you can control, measure, reset, and test without signing up.

What you can investigate

Explore Derivative, slope, tangent line, rate of change by changing the available controls and comparing the model’s visual and numerical evidence. Try one variable at a time, then combine changes to test a stronger explanation.

Derivativeslopetangent linerate of change

How to use this simulation

  1. 1Read the mission and make a prediction before moving a control.
  2. 2Change one variable so its effect is easier to identify.
  3. 3Run the model and record a value, pattern, or visible change.
  4. 4Reset, test a different setup, and explain the result from evidence.

For students, teachers, and independent study

A typical investigation takes 8–15 min. Use it as a lesson demonstration, a guided inquiry activity, a homework experiment, or a quick review. The simulation runs in a modern web browser and does not require an account.

Level
Advanced
Time
8–15 min
Format
Simulation

Common questions

What does the Derivative & Tangent Simulator teach?

Connect the derivative at a point with the slope of the tangent line. The main ideas are Derivative, slope, tangent line, rate of change.

Is the Derivative & Tangent Simulator free to use?

Yes. You can run the simulation online for free without creating an account.

How long does the activity take?

Most learners can complete one investigation in 8–15 min. You can repeat it to compare more variables or improve your explanation.