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xy x = ty 5. Consider g(x,y) = x = ty a. Show that gx (0,0) = g(0, 0) = 0. b. Prove that g is NOT differentiable at (0,0).

xy x = ty 5. Consider g(x,y) = x = ty a. Show that gx (0,0) = g(0, 0) = 0. b. Prove that g is NOT differentiable at (0,0).

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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xy x = ty 5. Consider g(x,y) = x = ty a. Show that gx (0,0) = g(0, 0) = 0. b. Prove that g is NOT differentiable at (0,0).
Transcribed Image Text:xy x = ty 5. Consider g(x,y) = x = ty a. Show that gx (0,0) = g(0, 0) = 0. b. Prove that g is NOT differentiable at (0,0).
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