ime Limit: 02:00:00 Submit Test This Question: 1 pt 46 of 17 (0 complete) This T
ID: 2884396 • Letter: I
Question
ime Limit: 02:00:00 Submit Test This Question: 1 pt 46 of 17 (0 complete) This Test: 17 pts possible Find all points (x.y) where f(x.y) has a possible rela ative maximum or minim score me f(x.y)-x2-2y2-2x-20y +6 Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum score (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.) ntent ?bra ion Enter your answer in the answer box.Explanation / Answer
given f(x,y)=x2-2y2-2x-20y+6
=> fx(x,y)=2x-0-2-0+0, fy(x,y)=0-4y-0-20+0
=> fx(x,y)=2x-2, fy(x,y)=-4y-20
for critical points,fx(x,y)=0, fy(x,y)=0
=>2x-2=0 , -4y-20=0
=>2x=2 , 4y=-20
=>x=2/2 , y=-20/4
=>x=1 , y=-5
possible relative maximum or minimum occurs at point (1,-5)
PLEASE RATE IF HELPFUL.PLEASE COMMENT IF YOU HAVE ANY DOUBT
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.