PLEASE HELP I NEED TO UNDERSTAND THIS QUESTION!

Consider the function y(x)=x/1+x^2 whose derivative is d/dx=1-x^2/(x^2+1)^2.

a. Where is y'(x) positive?
b. Where is y'(x) negative?
c. Where is y'(x) zero?
d. What is y'(0)?
e. Where is y(x) positive?
f. Where is y(x) negative?

Question

PLEASE HELP I NEED TO UNDERSTAND THIS QUESTION!

Consider the function y(x)=x/1+x^2 whose derivative is d/dx=1-x^2/(x^2+1)^2.

a. Where is y'(x) positive?
b. Where is y'(x) negative?
c. Where is y'(x) zero?
d. What is y'(0)?
e. Where is y(x) positive?
f. Where is y(x) negative?

anonymous · Answer

is this calc 2 or 1

abb0t · Answer

This is Calc I and I believe it's working with applications of derivatives. Finding local and absolute min/ max's.

anonymous · Answer

ok
a. simply solve for 1 of the derivative. and we get 4. So we know for any value x>1 is positive.
b repeat with -1 
c. set the equation of the derivative to 0 then solve for x and you should get 0.
d. 0 again

Assuming I set this up properly. Unfortunately I think I didn't. Could you possible give me the book you're working with so I can see if I have it?

anonymous · Answer

*tell me the book you're working with*

anonymous · Answer

brief calculus