The Gradient of a Curve


the gradient of a straight line is a measure of how steep it isand is constant for any point on the line.

the gradient of a curve at any point is given by the gradient of the tangent at that point and is different at each point on the curve.

the values of the gradient at each point on the curve form a function. 
this function is called the gradient function.

Key Skills

sketch the gradient function for a curve


gradientslopetangenthorizontalfunction, gradient function,derived functiondifferentiationderivative.