MATLAB Week- 6

MATLAB
Partial Derivatives
Week: 6


clear all
clc
syms x y
z= input('enter the function')
x1= input('enter the x value')
y1=input('enter the value of y')
z1 = subs(subs(z,x,x1),y,y1)
ezsurf(z,[x1-2,x1+2])
f1=diff(z,x)
slope x =subs(subs(f1,x,x1),y,y1)
[x2,z2]=meshgrid(x1-2:25:x1+2 ,0:0.5:10)
y2=y1*ones(size(x2))
hold on
surf(x2,y2,z2)
t=linspace(-1,1)
x3=x1+t
y3=y1*ones(size(t))
z3=z1+ slopex*t;
line(x3,y3,z3,'color','blue','line width',2)













Question 1) f(x)= x^2 - 2*y^2

                                    



Question 2) f(x)=x^3+y^3+6*x*y-1 at (1,1)




















Question 3) f(x)= 4-x^2-2*y^2 at (1,1)



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