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Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at (0, 0). 3x²y f(x, y) = Along the line y = x Along the curve y = x² (x, y) = (0, 0) (x, y) = (0, 0) f(0, 0) = (No Response) f(0, 0) = (No Response) lim (x, y) → (0, 0) lim (x,y) → (0, 0) fis continuous at (0, 0) f is not continuous at (0, 0) = (No Response) = (No Response)

Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at (0, 0). 3x²y f(x, y) = Along the line y = x Along the curve y = x² (x, y) = (0, 0) (x, y) = (0, 0) f(0, 0) = (No Response) f(0, 0) = (No Response) lim (x, y) → (0, 0) lim (x,y) → (0, 0) fis continuous at (0, 0) f is not continuous at (0, 0) = (No Response) = (No Response)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at (0, 0). 3x²y + f(x, y) = Along the line y = x Along the curve y = x² (x, y) = (0, 0) (x, y) = (0, 0) fx(0, 0) = (No Response) f(0, 0) = (No Response) lim (x, y) → (0, 0) = lim (x, y) → (0, 0) f is continuous at (0, 0) f is not continuous at (0, 0) (No Response) = (No Response)
Transcribed Image Text:Use the function to show that f(0, 0) and f(0, 0) both exist, but that f is not differentiable at (0, 0). 3x²y + f(x, y) = Along the line y = x Along the curve y = x² (x, y) = (0, 0) (x, y) = (0, 0) fx(0, 0) = (No Response) f(0, 0) = (No Response) lim (x, y) → (0, 0) = lim (x, y) → (0, 0) f is continuous at (0, 0) f is not continuous at (0, 0) (No Response) = (No Response)
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