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

Graph this function using graphing algorithm. y=x 2 /(x 2 +1) use the function and find : x and y intercept and assymptotes use the first derivative and find: critical points. use the second derivative and find: concavity and points of inflection.

Graph this function using graphing algorithm.


y=x2/(x2+1)


 


use the function and find :
x and y intercept
and assymptotes


use the first derivative and find:
critical points.


use the second derivative and find:
concavity
and points of inflection.


 

Grade:

1 Answers

Askiitians_Expert Yagyadutt
askIITians Faculty 74 Points
10 years ago

Hello rafie !

 

Y =  x^2 / (x^2 + 1)

 

Y = (x^2 + 1 - 1)/(x^2 + 1)

 

Y = 1 - 1/(x^2+1)

 

1)It is clear that the function is always less than 1

 

2) x = 0  --> y = 0

3) when x is equal to infinty then y = 1.

4) dy/dx = 2x/(x^2+1)^2 i.e  x>0  increasing  and x < 0 decreasing ...

 

Now the graph is simple ...

 


 

2241_23490_Untitled.jpg

 

Both side ...symmetric ..

 

Regards

 

Yagya

askiitians_expert

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