Dynamic Calculus

Home > The gradient function

Tangent to a curve

The diagram shows the tangent to the curve \(y = f(x)\) at the point \(P\). Zoom in on the tangent by first clicking the '+' magnifier icon, then repeatedly clicking the point \(P\).
[You can reset the applet at any time by clicking the 'circular arrows' icon in the top right corner]

 

 

What have you discovered about the gradient of the tangent at the point \(P\) and the gradient of the curve at the point \(P\)?