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Grade: 12
        Discuss the asymptotes and concavity of the function y=x²÷x-1
6 years ago

Answers : (2)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							as x-->inf y~x^2/x=x
y=x is an asymptote of the function
y'=2x(x-1)-x^2/(x-1)^2 = x^2-2x
y'=0 gives x(x-2)=0 , x=0 and x=2
for x>2 and x<0 function increasing , and between (0,2 ) function is decreasing.
sher mohammad
b.tech, iit delhi
6 years ago
PERUMAL
37 Points
							as x-->inf y~x^2/x=x
y=x is an asymptote of the function
y`=2x(x-1)-x^2/(x-1)^2 = x^2-2x
y`=0 gives x(x-2)=0 , x=0 and x=2 
for x>2 and x<0 function increasing , and between (0,2 ) function is decreasing.
						
6 years ago
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