SOLUTION: consider the function f(x)= (1-x^2)/(1+x^2)^2
Over which intervals is f(x) increasing?
Choices: A(-√3,0) B(-1,0) C(-√3,0)U(√3,∞) D(-∞,-√
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-> SOLUTION: consider the function f(x)= (1-x^2)/(1+x^2)^2
Over which intervals is f(x) increasing?
Choices: A(-√3,0) B(-1,0) C(-√3,0)U(√3,∞) D(-∞,-√
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Question 1035218: consider the function f(x)= (1-x^2)/(1+x^2)^2
Over which intervals is f(x) increasing?
Choices: A(-√3,0) B(-1,0) C(-√3,0)U(√3,∞) D(-∞,-√3)U(√3,∞) or E, None of these.
Please help. This is the only one I can't get as I'm preparing for my final. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! f'(x) = . (Verify!)
==> f(x) is increasing wherever f'(x) > 0.
==> f(x) is increasing over (,0) u (, ), after examining the signs.