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

Functions to create special matrices, Functions to create special matrices:...

Functions to create special matrices: The MATLAB also has various functions which create special matrices. For illustration, the zeros function generates a matrix of all zeros

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,

Illustration of labels and prompts, Illustration of Labels and prompts: ...

Illustration of Labels and prompts: The program below prompts the user for endpoints (x1, y1) and (x2, y2) of a line segment, and computes the midpoint of the line segment, th

Counting in a while loop, Counting in a While Loop: Whenever it is not...

Counting in a While Loop: Whenever it is not known ahead of the time how many values will be entered into the script, it is often essential to count the number of values which

Example of minimum and maximum value, Example of Minimum and Maximum Value ...

Example of Minimum and Maximum Value For matrices, the functions min and max operate column wise by the default: >> mat = randint(2,4,[1 20]) mat =    9   10   1

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

Find minimum and maximum for each row, Find Minimum and Maximum for each ro...

Find Minimum and Maximum for each row To find the maximum (or minimum) for each row, the dimension of 2 (that is how a MATLAB refers to rows) can be identified as the third arg

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

Algebra, 5 p2+8p+15, 3 p2-3p-18, 12 p...

5 p2+8p+15, 3 p2-3p-18, 12 p2-p-30

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

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