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Partial Derivative Functions and Their Plots

​
function
f(x, y)
2
x
-
2
y
partial derivative
f
x
(x, y)
f
y
(x, y)
show curve
fixed
y
value
show projection
f(x, y) =
2
x
-
2
y
f
x
(x, y) = 2x
Explore the connection between the graph of a function,
f(x,y)
, of two variables and the graphs of its partial derivative functions,
f
x
(x,y)
and
f
x
(x,y)
. The "show curve" option highlights the curves obtained by taking a fixed value of one of the variables in
f(x,y)
and one of its partial derivatives. The "show projection" option plots just these two curves in two dimensions for a better view of their relationship.
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