Find all the local maxima, minima & saddle points of the function. f(x,y)=x2+14x+y2-4y+3. Plsprovide all solutions. Thanks & I will give thumbs up!

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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Find all the local maxima, minima & saddle points of the function. f(x,y)=x2+14x+y2-4y+3. Plsprovide all solutions. Thanks & I will give thumbs up! 

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Step 1: Given

thin space f open parentheses x comma thin space y close parentheses equals x squared plus 14 x plus y squared minus 4 y plus 3

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