1. Compute the partial derivatives of the following relationships
∂
∂
∂
∂
∂
∂
∂
∂
z
x
z
x
z
y
z
y
1212
:
a)
zxx
yy
=−
−
−
tan
121
21
b)
()()
zxx yy=−+−
21
2
21
2
2. Given the following equations, compute the higher order partial derivatives
a) z = x
2
- y
3
b) z = 5x
4
+ 10x
2
y
2
+ 15y
4
c)
22
yx9z −−=
3. Find the total differential, dz, for the following functions:
a) z = x
2
y
2
+ 3y + 4
b) z = x sin y
SURVEYING ENGINEERING
FERRIS STATE UNIVERSITY
SURE 372 Adjustment Computations 1 Fall 2005/06
Homework #7