Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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
7 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
7 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 ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free