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Tangent Planes to Quadratic Surfaces

​
x
0
y
0
function
h
g
j
l
h(x,y)
=
2
x
+
2
y
h
x
'(x,y)
=
2x
h
y
'(x,y)
=
2y
Four different quadratic functions are used to define surfaces. You can vary the point of tangency. The tangent plane is given by the first-order Taylor polynomial approximation
z=f(
x
0
,
y
0
)+f'(
x
0
,
y
0
)(x-
x
0
)+f'(
x
0
,
y
0
)(y-
y
0
)
.
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