# how to use loop in function to plot

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shiv gaur on 8 Jan 2022
Edited: Walter Roberson on 10 Jan 2022
function y=f(x)
np=1.5;
a=1.2;
b=3;
x=np*sin(theta);
k1=sqrt(a-x^2);
k2=ksqrt(b-x^2);
y=(k1-k2)/(k1+k2);
end
how to determine the delta(y)/ delta(x)/ with the variation of theta;
delta means change in value of parameter how to write using loop
pl help to plot delta(y)/delta(x) vs theta
Walter Roberson on 8 Jan 2022
how to determine the delta(y)/ delta(x)/ with the variation of theta;
x is a function of theta, so you are asking to take the derivative of function y with respect to function x,

Walter Roberson on 8 Jan 2022
syms x(theta)
np=1.5;
a=1.2;
b=3;
X=np*sin(theta);
k1=sqrt(a-x^2);
k2=sqrt(b-x^2);
y=(k1-k2)/(k1+k2);
dydx = functionalDerivative(y,x)
dydx(theta) =
dydtheta = simplify(subs(dydx, x, X))
dydtheta(theta) =
fplot(dydtheta, [-2*pi 2*pi])

Mathieu NOE on 8 Jan 2022
hello
try this
I modified your function because x and y are both outputs
theta = linspace(0,2*pi,100);
figure(1)
[x,y]=f(theta);
plot(theta,dy./dx);
%%%%%%%%%%%%%%%%%%%
function [x,y]=f(theta)
np=1.5;
a=1.2;
b=3;
x=np*sin(theta);
k1=sqrt(a-x.^2);
k2=sqrt(b-x.^2);
y=(k1-k2)./(k1+k2);
end
##### 2 CommentsShowHide 1 older comment
shiv gaur on 8 Jan 2022
sir we modified the program like that
theta = linspace(0,2*pi,100);
figure(1)
[x,y]=f(theta);
plot(da,dy/dna./dx/dna);
%%%%%%%%%%%%%%%%%%%
function [x,y]=f(theta)
np=1.5;
nb=2;
x=np*sin(theta);
k1=sqrt(na^2-x.^2)+na;
k2=sqrt(nb^2-x.^2)+da;
y=(k1-k2)./(k1+k2);
end
so to calculate the dy/dx is written as dy/dx =dy/dna /dx/dna so there are three
gradient and fourth one is da so you are requested to plot in this manner vs da
pl

R2021b

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