K has equation G(x, y) = 0, and G is differentiable and G and G,y are bo e point P (a, b) on K, then VG(a, b)is a tangent vector to K at P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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If a curve K has equation G(x, y) = 0, and G is differentiable and G, and G, are both not
zero at the point P (a, b) on K, then VG(a, b)is a tangent vector to K at P .
Transcribed Image Text:If a curve K has equation G(x, y) = 0, and G is differentiable and G, and G, are both not zero at the point P (a, b) on K, then VG(a, b)is a tangent vector to K at P .
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