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

Strcat function - concatenation, Strcat function - Concatenation : The ...

Strcat function - Concatenation : The strcat function, though, will eliminate the trailing blanks from strings before concatenating. Note that in these illustrations, the trail

Matlab program - error-checking for integers, Error-checking for integers: ...

Error-checking for integers: illustrations of running this script as shown below: >> readoneint Enter an integer: 9.5 Invalid! Enter an integer: 3.6 Invalid

Morphological reconstruction, how can reconstruct just part of an image usi...

how can reconstruct just part of an image using imreconstruct?

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

Strings as matrix, Strings as matrix: The matrix can be generated, tha...

Strings as matrix: The matrix can be generated, that consists of strings in each row. Therefore, essentially it is created as a column vector of strings, but the final result

Histogram - plot functions, Histogram: The histogram is a particular t...

Histogram: The histogram is a particular type of bar chart which shows the frequency of occurrence of the values within a vector. The Histograms use what are known as bins to

Dimensions - matrix, Dimensions - matrix: The size and length function...

Dimensions - matrix: The size and length functions in the MATLAB are used to find array dimensions. Length function returns the number of elements in the vector. The size func

Pie chart - plot functions, Pie chart - plot functions: The MATLAB als...

Pie chart - plot functions: The MATLAB also has a function pie which will generate a pie chart. Calling the function with the form pie (vec) draws a pie chart, by using the pe

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

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

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