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Math Help - Quick Question about Vertical Asymptotes

  1. #1
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    Quick Question about Vertical Asymptotes

    Hi guys I am computing the derivative to check the intervals of increase/decrease of my given function. I was just wanting to know when I check the vertical asymptote in the denominator would I check in the original function f(x)'s denominator or f'(x) 's denominator after I differentiate. Then when I am check concavity should I check the denominator of f(x) f'(x) or f''(x). I am just looking for a bit of clarification.


    Thanks

    qbkr21
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    Quote Originally Posted by qbkr21 View Post
    Hi guys I am computing the derivative to check the intervals of increase/decrease of my given function. I was just wanting to know when I check the vertical asymptote in the denominator would I check in the original function f(x)'s denominator or f'(x) 's denominator after I differentiate. Then when I am check concavity should I check the denominator of f(x) f'(x) or f''(x). I am just looking for a bit of clarification.


    Thanks

    qbkr21
    f'(x) always gives the slope properties.
    f''(x) always gives the concavity.

    And if y = f(x) has a vertical asymptote at a point x = x0, then any derivative of f(x) will also display that asymptote.

    I think I answered your question. Let me know if I didn't.

    -Dan
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    Re:

    RE:

    Thanks!!!
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  4. #4
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    Re:

    Ahhhh...But the denominators of f'(x) and f''(x) must be included as Critical Points...on the # test line.
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