MATLAB Week-4

MATLAB

Week: 4

clc

clear all

syms x y

y1=input('Enter the Y1 Region value')

y2=input('Enter the Y2 Regon value')

ez1=ezplot(char(y1))

hold on

ez2=ezplot(char(y2))

hold on

t=solve(y1-y2)

kokler=double(t)

x1=linspace(kokler(1), kokler(2))

yy1=subs(y1,x,x1)

yy2=subs(y2,x,x1)

x1=[x1,x1]

yy=[yy1,yy2]

fill (x1,yy,'g')

f=int(y1-y2,t(1),t(2))

Question 1) y=x^2-2*x, y=x

         

  

Maxima and Minima

clc

clear all

syms x real

f=input('Enter the function f(x):')

fx=diff(f,x)

c=solve(fx)

cmin=min(double(c))

cmax=max(double(c))

ezplot(f,[cmin-2,cmax+2])

hold on

fxx=diff(fx,x)

for i = 1:1:size(c)

    T1=subs(fxx,x,c(i))

    T3=subs(f,x,c(i))

if (double(T1)==0)

    sprintf('The point x is inflexion point %d', double (c(i)))

else

    if (double(T1)<0)

        sprintf('The maximum point x is %d', double (c(i)))

        sprintf ('The value of the function %d', double (T3))

    else

        sprintf('The minimum point x is %d', double (c(i)))

        sprintf('The value of the function is %d', double(T3))

    end

end

plot (double(c(i)), double(T3), 'r*', 'markersize', 15)

end

hold off

Question 1)  4*x^3-48*x^2+144*x