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

Plot types - plot functions, Plot types: Besides plot and bar, there a...

Plot types: Besides plot and bar, there are another plot types like stem plots, histograms, stem plots, area plots and pie charts, and also other functions which customize the

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

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

Cholesky factorisation of packed storage matrix, If I have a vector represe...

If I have a vector representing the packed storage form of a symmetric matrix, how do I perform a cholesky factorisation on that?

Structure consisting of the fields, Structure Consisting of the Fields ...

Structure Consisting of the Fields A MATLAB can also solve the sets of equations. In this illustration, the solutions for x, y, & z are returned as a structure consisting of th

Writing and reading spreadsheet files, Writing and Reading Spreadsheet File...

Writing and Reading Spreadsheet Files: The MATLAB functions xlswrite & xlsread will write to and read from the spreadsheet files which have the extension .xls. For illustratio

Refer the subset of a matrix, Refer the subset of a matrix: It is also...

Refer the subset of a matrix: It is also possible to refer to the subset of a matrix. For illustration, this refers to the first & second rows, second & third columns: >> m

Naive Gauss Reduction, Write a MATLAB function [d1, u1, l1, c1, r1] = Naive...

Write a MATLAB function [d1, u1, l1, c1, r1] = NaiveGaussArrow(d, u, l, c, r) that takes as input the 5 vectors de ned above representing A. This function performs Naive Gauss redu

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

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

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