how to use loop in function to plot

Question

shiv gaur 2022-1-8

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1624910-how-to-use-loop-in-function-to-plot

编辑： Walter Roberson 2022-1-10

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

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shiv gaur 2022-1-8

Dr torsten you can take the value of theta between 0 to 2*pi yo are req to help in earlier problem also thanks

Walter Roberson 2022-1-8

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,

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Answer 1

Walter Roberson 2022-1-8

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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])

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Answer 2

Mathieu NOE 2022-1-8

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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);
dx = gradient(x);
dy = gradient(y);
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

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shiv gaur 2022-1-8

if three variable are there what will be change in program pl modified this

shiv gaur 2022-1-8

编辑：Walter Roberson 2022-1-10

在 MATLAB Online 中打开

sir we modified the program like that

theta = linspace(0,2*pi,100);
figure(1)
[x,y]=f(theta);
dx = gradient(x);
dy = gradient(y);
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