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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).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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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