Theory and ExamplesThe linearization of ƒ ( x , y ) is a

Chapter 14, Problem 55E

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Problem 55E

Theory and Examples

The linearization of ƒ ( x , y ) is a tangent-plane approximation

Show that the tangent plane at the point  on the surface z = ƒ(x, y) defined by a differentiable function ƒ is the plane

Thus, the tangent plane at P0 is the graph of the linearization of ƒ at P0 (see accompanying figure).

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