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Math Help - kth derivative

  1. #1
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    kth derivative

    Let f(x)={x^n(1-x)^n}/n!. Then for any integer k>0, the kth derivatives f^(k)(0) and f^(k)(1)
    A. are both 0 B. are both rational numbers but not necessarily integers
    C. are both integers D. do not satisfy any of the foregoing properties

    i was getting A as the answer but that is not right..
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  2. #2
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    Quote Originally Posted by champrock View Post
    i was getting A as the answer but that is not right..
    How did you arrive at your answer? What were your steps and reasoning?

    Please be complete. Thank you!
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  3. #3
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    I just differentiated the function once and than twice and had put x=0, 1. The method I employed was more like a hit and trial method. It would be great if you could give a more systematic approach to the question.
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  4. #4
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    You could try finding more than just the first two derivatives... (Patterns sometimes take a while to "see".)
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  5. #5
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    i did, but i was getting 0 only as the answer. Kindly help!
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