Find the total differential of the function z=f(x,y)=3xe^(y) at the point (2,3) using Δx=0.1 and Δy=-0.1.
Round answers to 2 decimal places if necessary.
First find the total differential, which approximates the change in the function value:
dz=
Now find the actual change in the function value New Point
Find the total differential of the function z=fy=3eat the point2,3using=0.1and y0.1. Round answers to 2 decimal places if necessary
First find the total differential, which approximates the change in the function value:
dz=
Now find the actual change in the function value z=fNew PointfOriginal Point
Lastly, find the absolute value of the error introduced when using the differential to estimate the change in function value instead of the actual change.
Errordz