Use the applet below to explore how the tangent at a point represents the gradient of the curve at that point.
Move the maximum and minimum point of the cubic curve to change the function.
Shift point P and click on show to see the tangent at a point and the associated gradient.
Test Yourself!
Use the applet below to test your understanding and accuracy of constructing tangents to a curve.
By moving the 2 Blue points, shift the Blue line to form a tangent to the curve at P. Press "Grade my Tangent" to get a score and "New Question" to try again.
How high can you score after 10 tries? Challenge yourself and your friends!