# HP Prime for All

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tangent(Curve, Point)

Draws the tangent(s) to a given curve through a given point. The point does not have to be a point on the curve.

tangent(plotfunc(x^2), point(1,1)) draws the tangent to the graph y=x^2 through the point (1,1); that is, the line whose equation is y=2*x-1.
tangent(plotfunc(x^2), GA) draws the tangent to the graph of y=x^2 through point A. Point A can then be moved and the tangent will move with it.
tangent(circle(GB, GC-GB), GA) draws one or more tangent lines through point A to the circle whose center is at point B and whose radius is defined by segment BC.