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derivative-(slope) #

A parabola with a point tracing along it. The tangent line at the point shows the instantaneous slope.

canvasclick to interact

⏮◀◀▶▶STEP0.25x1xZOOM

t=0s

practical uses #

• 01.Teaching calculus fundamentals
• 02.Visualizing instantaneous rate of change
• 03.Explaining the derivative geometrically
• 04.Demonstrating slope at a point

technical notes #

f(x) = x² curve with analytically computed derivative f'(x) = 2x. Tangent line drawn through point. Slope value updates in real-time.

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