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

Customizing plots, Customizing Plots : There are numerous ways to custo...

Customizing Plots : There are numerous ways to customize figures in the Figure Window. On clicking the Plot Tools icon will bring up the Property Editor & Plot Browser, with ma

Common form of the switch statement, Common form of the switch statement: ...

Common form of the switch statement: The common form of the switch statement is as shown below:   switch switch_expression   case caseexp1    action1   case cas

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

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

Logical vectors, Logical Vectors: The relational operators can also be...

Logical Vectors: The relational operators can also be used with the vectors and matrices. For illustration, let's say that there is a vector, and we want to compare each eleme

Illustration of a recursive function, Illustration of a recursive function:...

Illustration of a recursive function: illustration is of a recursive function which does not return anything, but simply prints. The below function prtwords receives a sentenc

Use of logical vector, Use of logical vector: Determine how many eleme...

Use of logical vector: Determine how many elements in the vector vec were greater than 5, the sum function can be used on the resulting vector isg: >> sum(isg) ans =

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

Illustration of logical built-in functions, Illustration of logical built-i...

Illustration of logical built-in functions: The function find returns the indices of a vector which meet certain criteria. For illustration, to find all the elements in a vect

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