Please do only part c and d Given the function z= f(x,y) = ln(x² + xy − y²), find the following:a) Find gradient at the point (2,3).Vf(2,3)=b) Given the unit vector ū=i-7, find the directional derivative at the point (2,3).Dif(2,3)=c) In which unit direction does the graph of z = f(x, y) have its steepest decline at the point (2,3), andwhat is this decline?d) In which direction is the graph of z=f(x, y) level at the point (2,3)?

As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Answered: Given the function z= f(x, y) = ln(x² +…

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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Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point (2,3). Vf(2,3)=