Example 4-7-9 - Maple Help
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Chapter 4: Partial Differentiation

Section 4.7: Approximations

Example 4.7.9

Show that the plane tangent to fx,y=3 x2+5 x y7 y2+4 at x,y=2,3 is the first-degree Taylor polynomial constructed at the point of contact. Show further that approximating Δf by the total differential df amounts to a tangent-plane approximation.

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