the function given below, find the critical points and classify the critical points using 2nd derivative. How many critical points are real and how many critical points are complex? f(x,y)=((x2−1)+(y2−4)+(x2−1)∗(y2−4))/(x2+y2+1)2

the function given below, find the critical points and classify the critical points using 2nd derivative. How many critical points are real and how many critical points are complex? f(x,y)=((x2−1)+(y2−4)+(x2−1)∗(y2−4))/(x2+y2+1)2

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Question

For the function given below, find the critical points and classify the critical points using 2nd derivative. How many critical points are real and how many critical points are complex?

f(x,y)=((x²−1)+(y²−4)+(x²−1)∗(y²−4))/(x²+y²+1)²

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