tangent planes and linear approximations 205...tangent planes and linear approximations 1. to find...
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Tangent Planes and Linear Approximations
To find the tangent plane to a surface at a given point.1.To calculate the total differential of a multivariable function.2.To determine whether or not a function is differentiable.3.
Goals:
Derivation of the Tangent Plane to a Surface at a Point
Section 14.4 Tangent Planes and Linear Approximations Page 1
Section 14.4 Tangent Planes and Linear Approximations Page 2
Definitions
Section 14.4 Tangent Planes and Linear Approximations Page 3
Section 14.4 Tangent Planes and Linear Approximations Page 4
Section 14.4 Tangent Planes and Linear Approximations Page 5
So, just because the partials exist at a point does not mean that the function is well-behaved at that point.
Section 14.4 Tangent Planes and Linear Approximations Page 6
Section 14.4 Tangent Planes and Linear Approximations Page 7
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