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Math Help - Second derivative question

  1. #1
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    Second derivative question

    Attached is a photo of the question. I have calculated the second derivative but I'm unsure how to show that the curvature d2q/dk2 is negative for k < k1 and is positive for k > k1. At this point I need to find the value of k1.

    Any ideas? Thanks for the help!

    Second derivative question-diagram-i.jpg
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  2. #2
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    Re: Second derivative question

    I can't read your attachment
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  3. #3
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    Re: Second derivative question

    Set it equal to zero. That will allow you to calculate k_1. Then, plug in a value to the left of k_1 and to the right of k_1. You will find the second derivative is zero when k = 2k_m. If k<2k_m, the second derivative will be negative. If k>2k_m, the second derivative will be positive.
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