Derivatives, Mathematics

Derivatives

The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is referred to as the derivative of y with respect to x. In finance and economics, the rate of change is called marginal or incremental. For example, the marginal cost of capital is the rate of change of the total cost of capital per unit change in the new capital raised.

The idea of the deravative as the rate of change of the function at a fixed point has a geometrical foundation. The slope of the tangent to the function at a point equals the derivative at that point.

The derivative is usually denoted by  d/dx of f(x) or  df/dx . It may be noted that the derivative itself is a function, and the value of the derivative depends upon where it is evaluated.

The derivative of a function f(x) at point 'a' is defined as:

822_derivative.png

The process of getting the derivatives is called 'differentiating' a function. 

Posted Date: 9/13/2012 6:21:49 AM | Location : United States







Related Discussions:- Derivatives, Assignment Help, Ask Question on Derivatives, Get Answer, Expert's Help, Derivatives Discussions

Write discussion on Derivatives
Your posts are moderated
Related Questions


The following relation is not a function.                   {(6,10) ( -7, 3)  (0, 4)  (6, -4)} Solution Don't worry regarding where this relation came from.  It is only on

One day it snowed 3 and 3/8 inches in Altoona and 3.45 inches in Bethlehem. Which city received less snow that day.

Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute. a. How fast is a person rising when the person is 3 meters above the horizontal lin

At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl


40.783-75

how do mathematical ideas grow?

Factor by grouping each of the following. 3x 2 - 2x + 12x - 8 Solution           3x 2 - 2x + 12x - 8 In this case we collect the first two terms & the final two te