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

Polar form, Polar Form: Any complex number z = a + bi can be thought o...

Polar Form: Any complex number z = a + bi can be thought of as a point (a,b) or vector in the complex plane in which the horizontal axis is the real part of z, and the vertica

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

Applications of customized strings, Applications of Customized Strings: Lab...

Applications of Customized Strings: Labels, Prompts, Arguments to Functions: The one of very useful application of this is to involve numbers in strings that are used to plot

Optimal foraging theory, This project requires you to use the ideas of Chap...

This project requires you to use the ideas of Chapter 25 regarding maximization of a function. Here we assume that evolution has acted to generate highly efficient foragers. By hig

Fliplr function - changing dimensions, Fliplr function: The fliplr fun...

Fliplr function: The fliplr function "flips" the matrix from left to right (in another words the left-most column, the first column, become the last column and so on), and the

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

Use of string variables, Use of string variables: The Characters invol...

Use of string variables: The Characters involve letters of the alphabet, punctuation marks, digits, white space, and control characters. The Control characters are characters

Types of user-defined functions, Types of User-defined Functions: We k...

Types of User-defined Functions: We know how to write a user-defined function, stored in an M-file, which computes and returns one value. This is merely one type of the functi

Writing variables to a file, Writing variables to a File: The save com...

Writing variables to a File: The save command is used to write variables to a file, or to append the variables to a MAT-file. By the default, save function writes to a MAT-fil

Illustration of standard deviation, Illustration of Standard Deviation ...

Illustration of Standard Deviation The less spread out the numbers are, therefore smaller the standard deviation will be, as it is a way of determining the spread of the data.

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