Differentiation, MATLAB in Mathematics

Assignment Help:

Differentiation:

The derivative of a function y = f(x) can be written as follows

107_Differentiation.png

or f  '(x) and is defined as the rate of change of the dependent variable y with respect to x. The derivative is the slope of line tangent to the function at given point.

The MATLAB has a function polyder that will find the derivative of a polynomial. For illustration, for the polynomial x3 + 2x2 - 4x + 3, that would be represented by the vector

 [1 2 - 4 3], the derivative is found by:

>> origp = [1 2 -4 3];

>> diffp = polyder(origp)

diffp =

3 4 -4

that shows that the derivative is the polynomial 3x2 + 4x - 4. The function polyval can be used then to find the derivative for certain values of x; for illustration for x = 1, 2, and 3:

>> polyval(diffp, 1:3)

ans =

3 16 35

The derivative can be written as folows 

692_Differentiation1.png

and can be approximated by difference equation.


Related Discussions:- Differentiation

Sorting, Sorting The Sorting is a process of putting a list in order; ...

Sorting The Sorting is a process of putting a list in order; either in descending (maximum to minimum), or ascending (minimum to maximum) order. For illustration, here is a li

Strings as vectors, Strings as Vectors: The Strings are considered as ...

Strings as Vectors: The Strings are considered as vectors of characters-or in another words, a vector in which each and every element is a single character-so numerous vector

Error-checking for integers, Error-Checking for Integers: As MATLAB us...

Error-Checking for Integers: As MATLAB uses the type double by default for all the values, to check to make confirm that the user has entered an integer, the program have to c

Complex numbers, Complex numbers: A complex number is commonly written...

Complex numbers: A complex number is commonly written in the form z = a + bi here a is known as the real part of the number z, b be the imaginary part of z, and i is √-1

Illustration of logical vectors, Illustration of Logical vectors: Call...

Illustration of Logical vectors: Calling the function appears to return similar vector as simply vec > 5, and summing the result still works to determine how many elements wer

Labels and prompts, Labels and Prompts: The script loads all the numbe...

Labels and Prompts: The script loads all the numbers from file into a row vector. It then splits the vector; it stores the initial element that is the experiment number in a v

Built-in function for differentiation, Built-in function for Differentiatio...

Built-in function for Differentiation: The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration, >>

Concatenation, Concatenation: The String concatenation means to join t...

Concatenation: The String concatenation means to join the strings altogether. Of course, as strings are merely vectors of the characters, the technique of concatenating vector

Illustration of spreadsheet files, Illustration of Spreadsheet Files: ...

Illustration of Spreadsheet Files: This reads the numbers in a double vector variable nums and the text in a cell array txt (the xlsread function forever returns the numbers f

Strcat function - concatenation, Strcat function - Concatenation : The ...

Strcat function - Concatenation : The strcat function, though, will eliminate the trailing blanks from strings before concatenating. Note that in these illustrations, the trail

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