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

Homogeneous system , Provided a homogeneous system of equations (2), we wil...

Provided a homogeneous system of equations (2), we will have one of the two probabilities for the number of solutions. 1.   Accurately one solution, the trivial solution 2.

Bottleneck for each product, A company makes 2 products, Product A and Prod...

A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B

Distribution of sample distribution or sampling means , Distribution of Sam...

Distribution of Sample distribution or Sampling means A sample of size n is taken from the parent population and mean of the sample is estimated. It is repeated for a number o

Proof of limit comparison test - sequences and series, Proof of Limit Compa...

Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

Trigonometry, Show that the radius of the circle,passing through the centre...

Show that the radius of the circle,passing through the centre of the inscribed circle of a triangle and any two of the centres of the escribed circles,is equal to the diameter of t

Unit circle, Unit circle: The unit circle is one of the most valuable tool...

Unit circle: The unit circle is one of the most valuable tools to come out in trig.  Unluckily, most people don't study it as well. Below is the unit circle with just the first

Determine the slope, Determine the slope following lines.  Sketch the graph...

Determine the slope following lines.  Sketch the graph of line.       The line which contains the two points (-2, -3) and (3, 1) .   Solution we'll need to do is employ

How to plot line graphs, Q. How to plot Line Graphs? Ans. Line gra...

Q. How to plot Line Graphs? Ans. Line graphs can be useful in analyzing data. They are particularly helpful when you are interpolating or extrapolating information from y

each player selects one of her two remaining chips , Consider the followin...

Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To beg

The service was wonderful how much is a 20% tip, Melisa and Jennifer threw ...

Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w

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