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The gradient function is called the derivative function and, if, it is denoted by (the
derivative of with respect to, or by, or using the notation.
The rule for finding the derivative function for integer powers of is:
(‘Multiply by power and reduce by one.)
The process of finding the derivative function is differentiation. (Constant term
disappears). To find the gradient of a curve at a particular point, substitute the given
x-value into the derivative function.
Turning points of the graphs (and quadratic graphs) can be found by setting the
derivative function equal to zero and solving the resulting equation.
Second Derivative
There are two type of turning points in the graphs, maximum and minimum. Find the
second derivative and substitute the coordinates of the turning point in. The sign of
the second derivative determines whether the point is maximum or minimum.