Eventhough i used syntax for plotting xlabel, ylabel , title but its not visible in the graph

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clear
clc
syms x y
f(x)=input('Enter the function:');
I=input('Enter the interval:');
a=I(1);b=(2);
Df=diff(f,x);
m=(f(b)-f(a))/(b-a);
c=solve(Df==m, x);
c=c(a<c&c<b);
disp('Values of c lying in the interval I are');
disp(double(c));
T=f(c)+m*(x-c);
disp('The tangent Lines at c are');
disp(vpa(y==T,4));
figure
fplot(f,I); grid on; hold on;
fplot(T, I, 'r');
plot(c,double(f(c)), 'ko');
plot(I,double(f(I)), 'm');
xlabel('x'); ylabel('y');
title('Demonstration of Mean value theorem');
  3 Comments

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Accepted Answer

Walter Roberson
Walter Roberson on 10 Oct 2021
Works for me.
syms x y
f(x)= x+exp(3*x) %input('Enter the function:');
f(x) = 
I= [0,1] %input('Enter the interval:');
I = 1×2
0 1
a=I(1);b=(2);
Df=diff(f,x);
m=(f(b)-f(a))/(b-a);
c=solve(Df==m, x);
c=c(a<c&c<b);
disp('Values of c lying in the interval I are');
Values of c lying in the interval I are
disp(double(c));
1.4019
T=f(c)+m*(x-c);
disp('The tangent Lines at c are');
The tangent Lines at c are
disp(vpa(y==T,4));
figure
fplot(f,I); grid on; hold on;
fplot(T, I, 'r');
plot(c,double(f(c)), 'ko');
plot(I,double(f(I)), 'm');
xlabel('x'); ylabel('y');
title('Demonstration of Mean value theorem');

More Answers (2)

Cris LaPierre
Cris LaPierre on 9 Oct 2021
It works fine for me
clear
clc
syms x y
f(x)=x.^2; % modified so code runs here
I=[0 10]; % modified so code runs here
a=I(1);b=(2);
Df=diff(f,x);
m=(f(b)-f(a))/(b-a);
c=solve(Df==m, x);
c=c(a<c&c<b);
disp('Values of c lying in the interval I are');
Values of c lying in the interval I are
disp(double(c));
1
T=f(c)+m*(x-c);
disp('The tangent Lines at c are');
The tangent Lines at c are
disp(vpa(y==T,4));
figure
fplot(f,I); grid on; hold on;
fplot(T, I, 'r');
plot(c,double(f(c)), 'ko');
plot(I,double(f(I)), 'm');
xlabel('x'); ylabel('y');
title('Demonstration of Mean value theorem');
  6 Comments
Walter Roberson
Walter Roberson on 10 Oct 2021
I just tried it myself in MATLAB Online, and got all three lines.
When you are on MATLAB Online, what shows up if you command
which plot
which hold
NITISH B
NITISH B on 10 Oct 2021
built-in (/MATLAB/toolbox/matlab/graph2d/plot)
/MATLAB Drive/hold.m
like this for me showing in command window..by using which plot which hold

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Walter Roberson
Walter Roberson on 10 Oct 2021
You have your own hold.m that is interfering with the Mathworks command. You need to rename it or delete it or put it in a directory named "private" in the code that needs it.
  3 Comments

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