Assignment 2 Problem 1

108 days ago by renaldorini

f(x)=(1+x^3)/(3-x^4); g(x)=derivative(f,x); z=1+I; dz=.01+.01*I; print(f(z)+g(z)*dz); print(f(z+dz)); 
        
-0.148163265306122 + 0.287755102040816*I
-0.148078803866858 + 0.287696496334776*I
-0.148163265306122 + 0.287755102040816*I
-0.148078803866858 + 0.287696496334776*I
f(x)=sin(x^2)*e^x; g(x)=derivative(f,x); z=1+I; dz=.01+.01*I; print(f(z)+g(z)*dz); print(f(z+dz)); 
        
(1.01000000000000 + 0.0100000000000000*I)*e^(I + 1)*sin(2*I) +
0.0400000000000000*I*e^(I + 1)*cos(2*I)
-8.79122912495561 + 5.52141430897090*I
(1.01000000000000 + 0.0100000000000000*I)*e^(I + 1)*sin(2*I) + 0.0400000000000000*I*e^(I + 1)*cos(2*I)
-8.79122912495561 + 5.52141430897090*I
f(x)=e^x/x; g(x)=derivative(f,x); z=1+I; dz=.01+.01*I; print(f(z)+g(z)*dz); print(f(z+dz)); 
        
(0.505000000000000 - 0.495000000000000*I)*e^(I + 1)
1.87393054880442 + 0.428111403801391*I
(0.505000000000000 - 0.495000000000000*I)*e^(I + 1)
1.87393054880442 + 0.428111403801391*I