Derivatives, Mathematics

Assignment Help:

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. 


Related Discussions:- Derivatives

Combination, Combination A combination is a group of times whether ord...

Combination A combination is a group of times whether order is not significant. For a combination to hold at any described time it must comprise of the same items however i

Limitation of operation research, i need ten points about limitation of ope...

i need ten points about limitation of operation research

Venm diagrams, In a class, all pupils take Mathematics (M), 18 take Chemist...

In a class, all pupils take Mathematics (M), 18 take Chemistry (C), 17 take Biology (B) and 24 take Physics (P) of those taking 3 subjects only, 5 take Physics and Chemistry, 7 ta

Tristansmath, how do i multiply demencinals

how do i multiply demencinals

Elimination, Eliment t from following equations v=u+at s=ut+1/2at^2

Eliment t from following equations v=u+at s=ut+1/2at^2

Time series and analysis, Time Series and Analysis It is the statistic...

Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes

Definition of relation, Definition of Relation A relation is a set of o...

Definition of Relation A relation is a set of ordered pairs. It seems like an odd definition however we'll require it for the definition of a function though, before actuall

Interpretations of definite integral, Interpretations of Definite Integral ...

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

Fractions, Mr. And Mrs. samuel visited Florida and purchased 120 oranges. ...

Mr. And Mrs. samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives, ate 1/12 of them in the hotel, and gave 1/3 of them to friends. The shipped the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd