Saltire Software

Parabola Derivative

The slope of the curve at any point of a parabola can be measured by creating a line tangent to the curve at that point.

What is the relationship between the slope and the point? For the parabola here, whose function is Y=X2, it should be rather easy to spot.

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x
Slope

What is the relationship between the x-coordinate and the slope?

What is the relationship between the y-coordinate and the slope?

Keep a generalized formula in mind.

App generated by Geometry Expressions