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Math Help - Sketching graph-please help me check if this is correct

  1. #1
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    Graph problem-Plz help me check if its correct

    the problem is y=(1/x)+[1/(x+1)] I have to sketch the graph.

    Listed below are my work.

    let y=f(x)
    f'(x)=[-1/x(^2)]-[1/((x+1)^2)]

    I made f'(x)=0 and found that x can't be solved. Does this mean there are no critical points?

    Asymptotes at x=0 and x=-1

    Attached is the graph I drew.

    Is this correct? What happens if I can't solve for x?

    Thank you!
    Attached Thumbnails Attached Thumbnails Sketching graph-please help me check if this is correct-picture-1.png  
    Last edited by fabxx; May 10th 2010 at 01:32 AM.
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  2. #2
    MHF Contributor

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    Yes, the fact that f'(x) means there are no critical points- no max, min, or saddle point, just as your graph shows.
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