Q3: Find gradient of the following function at givenpoint1)f(x,y)=y-x, (2,1)2) g(x, y) = y-x². (-1,0)3)f(x, y, z)=x² + y² -2=²+ln(x).(1,1,1)4) f(x, y, z)=(x² + y² + ²)² +In(xyz).22-1/2(-1,2,-2)

3) fx,y,z=x2+y2-2z2+zlnx We have, grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Answered: 3) f(x, y, z)=x² + y² -2=²+ = ln(x).…

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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3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz), (-1,2,-2)