# What is the main difference between gradient command and diff comand

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x = [1, 5, 10, 17, 30];
Result:4.0000 4.5000 6.0000 10.0000 13.0000
In this code I am getting this result.How it is actaully calculating the result and does this show the slope?

### 回答（1 个）

Torsten 2023-6-27

diff: 5-1,10-5,17-10,30-17
Both are approximations to the slope of x if the spacing of the independent variable is 1.
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Hlw, I got it.Can you please tell me why (10-1)/2,(17-5)/2,(30-10)/2 has divide it with 2 whereas 1st and last 1 is with 1?This question might sound silly but I need to grab how it is working as I have to use this command to a largse set of data.
Dyuman Joshi 2023-6-27
From the documentation of gradient -
gradient calculates the central difference for interior data points. For example, consider a matrix with unit-spaced data, A, that has horizontal gradient G = gradient(A). The interior gradient values, G(:,j), are
G(:,j) = 0.5*(A(:,j+1) - A(:,j-1));
The subscript j varies between 2 and N-1, with N = size(A,2).
gradient calculates values along the edges of the matrix with single-sided differences:
G(:,1) = A(:,2) - A(:,1);
G(:,N) = A(:,N) - A(:,N-1);

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