f(r, y) = / y if (r,y) (0,0),Differentiability of f(z, y) at point (a, b)Let f: R → R be a function given byif (r. y) (0,0),f(x, y):if (r. y) = (0,0)Using definitions of partial derivatives, show whether f(r. y) is differentiable atpoint (0,0).

Answered: Differentiability of f(r, y) at point…

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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Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r, y) = 0. if (r.y) (0,0). Using definitions of partial derivatives, show whether f(r. y) is differentiable at point (0,0).