Ch 14 Partial Derivitives
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1
How to find the domain of a function
When the function $f(x)$ is defined. (Conditions: no negative square roots, nothing less than 0 in ln, and no zeros in denominator)
2
Notation of Domain for two variable equasion
$\{(x,y)| x (operator) y (operator) (<> \leq \geq \neq) number \}$
3
Linear Equasion (is a plane)
$f(x,y) = ax+by+c$
4
Equasion of the graph of a linear function
$z = ax+by+c$
or
$ax+by-z+c=0$
or
$ax+by-z+c=0$
5
Graph of a parapoloid
6
Equasion of a Paraboloid
$z=\frac{x^2}{a}+\frac{y^2}{b}$
7
Graph of $e^{-x^2-y^2}$
8
Graph of $f(x,y)= sin(x) + sin(y)$
9
Graph of $f(x,y) = \frac{sin(x)sin(y)}{xy}$