Built-in function for differentiation, MATLAB in Mathematics

Assignment Help:

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,

>> diff([4 7 15 32])

ans =

3 8 17

For a function y = f(x) here x is a vector, and the values of f  '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.

>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;

>> x = 1:3;

>> y = f(x)

y =

2 11 36

>> diff(y)

ans =

   9 25

>> diff(x)

ans =

   1 1

>> diff(y) ./ diff(x)

ans =

9 25


Related Discussions:- Built-in function for differentiation

Illustration of writing variables to a file, Illustration of Writing variab...

Illustration of Writing variables to a file: For illustration, in the below session in the Command Window, 3 variables are generated; these are then exhibited using who. Then,

Illustrations of variable number of output arguments, Illustrations of Vari...

Illustrations of Variable number of output arguments: In the illustrations shown here, the user should actually know the type of the argument in order to establish how many va

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

Fond minimum and maximum value in data set, Minimum and Maximum Value T...

Minimum and Maximum Value The MATLAB has built-in functions for numerous statistics. For illustration, min and max to find the minimum or maximum value in a data set. >> x

Using functions with the vectors and matrices, Using Functions with the Vec...

Using Functions with the Vectors and Matrices: As MATLAB is written to work with the vectors and matrices, the whole vector or matrix can be passed as an argument to the funct

Example of logical built-in functions, Example of Logical built-in function...

Example of Logical built-in functions: For equivalent to all the function, we should make sure that the entire elements in the vector are logically true. The one way of doing

Illustration of nested function, Illustration of nested function: The ...

Illustration of nested function: The output arguments are distinct from variables. The scope of an output argument is merely the nested function; and it cannot be used in the

Referring to and modifying the matrix elements, Referring to and Modifying ...

Referring to and Modifying the Matrix Elements: To refer to matrix elements, the row and then the column indices are given in parentheses (always the row index initially and t

Illustration of variance, Illustration of Variance For illustration, fo...

Illustration of Variance For illustration, for the vector [4, 6, 1, 5], there are n = 4 values therefore n - 1 is 3. The mean of this data set is also 4. The variance will be

Illustration of writing to files, Illustration of Writing to files: He...

Illustration of Writing to files: Here is the other illustration in which a matrix is written to a file. At First, an arbitrary 2 × 4 matrix is generated, and then it is writt

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