(a) Find directional derivative and gradient of f(x, y, z) at indicated point. f(x, y, z)=, z-x u= -6i – 2k + 3j ,P = (1, 0, -3) z+y (b) Evaluate lim g(x, y) by as many ways as you can where (xy)-(0,0) ху x+y2 g(x,y) = -: Keeping in view your above evaluation discuss its continuity also.

(a) Find directional derivative and gradient of f(x, y, z) at indicated point. f(x, y, z)=, z-x u= -6i – 2k + 3j ,P = (1, 0, -3) z+y (b) Evaluate lim g(x, y) by as many ways as you can where (xy)-(0,0) ху x+y2 g(x,y) = -: Keeping in view your above evaluation discuss its continuity also.

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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Question

1 (a) Find directional derivative and gradient of f(x, y, z) at indicated point.
f(x, y, z)=
z-x
u= -6i – 2k + 3j .P = (1, 0, -3)
z+y
(b) Evaluate
lim g(x, y) by as many ways as you can where
(xy)-(0,0)
g(x,y) =
ху
x2+y?
Keeping in view your above evaluation discuss its continuity also.

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Step 1: Find the gradient of f(x,y,z)-

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