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This applet is designed to build the student's visual intuition about the line tangent to a curve at a point being the limit of the secant lines through that point.
This animation shows how a secant line approximates the tangent line at a fixed point when its other intersection with the curve is forced toward the fixed one. This is a Quick Time movie.
This animation shows how to use the slope of a curve to plot the derivative for that curve.
This GeoGebra applet plots the first and second derivative on the same graph. The tangent line to the graph of a function at a point is drawn.
An article on how to teach tangent lines, the derivative, and local linearity through experimentation and exploration by students.
The mathlet graphs solution functions \(x(t)\) and \(y(t)\) to the system of differential equations \(x' = f(x,y)\) and \(y' = g(x,y)\), with initial values given by \( x(t_0)=x_0\) and \(y(t_0)=y

Graphs solution functions \(y(x)\) to the differential equation \(y'=f (x,y)\), with initial value given by \(y(x_0)=y_0\). The student can zoom in and out of the graphs.