Gradient of a Curve
Explore!
Explore!
Use the applet below to explore how the tangent at a point represents the gradient of the curve at that point.
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.
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.
Shift point P and click on show to see the tangent at a point and the associated gradient.
Test Yourself!
Test Yourself!
Use the applet below to test your understanding and accuracy of constructing tangents to a curve.
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.
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!
How high can you score after 10 tries? Challenge yourself and your friends!
