Regarding the differentiation of function

I am trying to find the d(A)/dx and plot its value for y = 1,6,0.03,0.08,10 with respect to varying x from -10 to 10.

(ii) Find the value of the maxima for all the stated y values

How to do it?

x = -10:0.1:10;
y = [1 6 0.03 0.08 10]';
A = 23 * (atan((0.005 + y)/x^2));
B = diff(A);

Answer 1

[Matt J]

x = -10:0.1:10;
y = [1 6 0.03 0.08 10]';
A = 23 * (atan((0.005 + y)./x.^2));
B = diff(A,1,2)/0.1;

plot(x(1:end-1),B')

[Amy Topaz]

Thank you,

What is the meaning of diff(A,1,2)?

[Matt J]

It takes 1st order finite differences along dimensions number 2 (columns). See also,

https://www.mathworks.com/help/matlab/ref/diff.html#btwmxq8-10

[Amy Topaz]

How to get the maximum values from the graph plotted for each y?

[Torsten]

By applying MATLAB's "max" to the rows of B.