This can be expressed in terms of the derivative functions.

Finally execution time is relatively high due to the large number of derivative function calls required.

If so then f'(x) must be the correct derivative function over this domain.

A different choice of reference frame will, in general, produce a different derivative function.

The derivative functions in different reference frames have a specific kinematical relationship.

Relate the zeros of the derivative function to the critical points on the original curve.

This regulatory role is a derivative function in that the agencies do not publish ratings for that purpose.

Approximations of these derivative functions can be defined at varying degrees of accuracy.

Often, the graphs of a function and its derivative function are not easy to view simultaneously due to scaling problems.

(The E's represent evaluations of the derivative function).

The derivative function becomes a map between the tangent bundles of M and N.

In Maple, the Differential operator "D" is used for representing derivative functions.

These derivative functions . . . are called "descriptive functions".

Alternatively, there is a GC file that draws the tangent field of the derivative function.

The derivative function is therefore:

Kirsten's work goes as far beyond this derivative function as is possible while still using a turntable as primary medium.

Alternatively, a table of values of the function and its derivative function can be used to locate the points of interest.

It graphs the function in Y1, and then allows the user to plot points they predict would lie on the graph of its derivative function.

The instantaneous rate of change at a specific point on the curve can be found by evaluating the derivative function for the curve at that point.

Historians have observed that this helped the nascent Independence movement with a distinct national identity and kept it from being the simple derivative function of European nationalisms.

(although strictly speaking this denotes the variable value of the derivative function rather than the derivative function itself).

In the task above, the graph of the derivative function can be explored independently from the graph of the original function to tackle the problem at hand.

This defines the derivative function of the squaring function, or just the derivative of the squaring function for short.

Find, using calculus, the second derivative function f''(x) and enter and graph this function in Y5 (using a different colour from the graph in Y4).

He also developed the concepts of a derivative function and the maxima and minima of curves in order to solve cubic equations which may not have positive solutions.