0

Guest

Courses New

Discuss the asymptotes and concavity of the function y=x²÷x-1

Discuss the asymptotes and concavity of the function y=x²÷x-1

Grade:12

2 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
10 years ago
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
PERUMAL
37 Points
10 years ago
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.

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More