Tangent Plane
x =
, y =
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Summary:
Equation of the tangent plane to the surface z = f(x, y) at the point (x
0
, y
0
, z
0
) is
z - z
0
= f
x
(x
0
, y
0
) (x - x
0
) + f
y
(x
0
, y
0
) (y - y
0
).
Equation of the normal to the surface z = f(x, y) at the point (x
0
, y
0
, z
0
) is
(
x
)
=
(
x
0
)
+ λ
(
f
x
(x
0
, y
0
, z
0
)
)
, λ ∈ ℝ
y
y
0
f
y
(x
0
, y
0
, z
0
)
z
z
0
-1
You can define functions using these operators:
+
-
*
/
^
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ln( )
exp( )
pi
sin( )
cos( )
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asin( )
acos( )
atan( )