Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable. f ( x , y ) = 1 + cos 2 ( x − y ) 1 + cos 2 ( x + y ) , ( π 3 , π 6 , 7 4 )
Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable. f ( x , y ) = 1 + cos 2 ( x − y ) 1 + cos 2 ( x + y ) , ( π 3 , π 6 , 7 4 )
Solution Summary: The author explains how to find an equation of the tangent plane to the given surface at the specified point.
Draw the graph of f and its tangent plane at the given point. (Use your computer algebra system both to compute the partial derivatives and to graph the surface and its tangent plane.) Then zoom in until the surface and the tangent plane become indistinguishable.
f
(
x
,
y
)
=
1
+
cos
2
(
x
−
y
)
1
+
cos
2
(
x
+
y
)
,
(
π
3
,
π
6
,
7
4
)
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