# Partial Derivatives

1. May 13, 2009

### joemama69

1. The problem statement, all variables and given/known data
x & y measured in meters. Temperature is T(x,y) Temperatures are noted in table
y= 2 4 6
x
4 74 72 68
6 87 80 75
8 90 86 80

Estimate the value of Txy(6,4)

&

Tu, where u = (i + j)/$$\sqrt{2}$$ I do no understand how to get the i and j components

2. Relevant equations

3. The attempt at a solution

Tx(6,4) = (86-80)/(8-6) = 3
Tx(6,6) = (80-75)/(8-6) = 2.5

Txy = [Tx(6,4) - Tx(6,6)]/2 = [3 - 2.5]/2 = .25
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution