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Math Help - Can someone help me with this function

  1. #1
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    Can someone help me with this function

    Hi can anyone help me out with how to find the stationary points of this functions:

    y = x/x^2+1

    Thanks I am completely at a loss
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by Emililypad View Post
    Hi can anyone help me out with how to find the stationary points of this functions:

    y = x/x^2+1

    Thanks I am completely at a loss
    Is it \frac{x}{x^2 + 1}?

    Find the first derivative using the quotient rule, then set it equal to zero.

    f'(x) = (x^2+1)^{-1} - 2x^2 (x^2 + 1)^{-2} = \frac{1-x^2}{1+x^2}

    (check to verify the work above)

    ... so the zeros occur where 1 - x^2 = 0, which means x = 1 or x = -1.

    Good luck!
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  3. #3
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    Yes thats correct and thank you so much.
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