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

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

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

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

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

Function fopen - file function, Function fopen - file function: The pe...

Function fopen - file function: The permission string in the call to the fopen function identifies that the file is opened for writing to it. Just as when reading from a file,

Looping, How do I write a product series running from i to n of x''s using ...

How do I write a product series running from i to n of x''s using a for loop?

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

Indexed empty matrix, Indexed empty matrix: The Individual elements ca...

Indexed empty matrix: The Individual elements cannot be eliminated from matrices, as matrices always have the similar number of elements in every row. >> mat = [7 9 8; 4 6

Plot functions, Plot Functions: Faraway, we have plotted to generate t...

Plot Functions: Faraway, we have plotted to generate two-dimensional plots and bar to generate bar charts. We have seen how to clear the Figure Window by using clf, and how to

Recursive functions, Recursive Functions: The Recursion occurs wheneve...

Recursive Functions: The Recursion occurs whenever something is defined in terms of itself. In the programming, a recursive function is a function which calls itself. The Recu

Illustration of empty vectors , Illustration of Empty vectors: The Emp...

Illustration of Empty vectors: The Empty vectors can also be used to delete elements from the arrays. For illustration, to remove the third element from array, an empty vector

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