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    shanus's Avatar
    shanus Posts: 17, Reputation: 0
    New Member
    		  
    #1

    Sep 4, 2005, 04:52 PM
    Simple Derivation?
    I'm not sure if I'm simply forgetting basics here...

    what is dy/dx where y=

    x^(x*r/k)

    r and k are constants.
    reinsuranc's Avatar
    reinsuranc Posts: 92, Reputation: 6
    Junior Member
    		  
    #2

    Sep 5, 2005, 08:27 AM
    derivative
    y=x^(x*r/k)
    Take natural logarithms of each side:
    LNy=LN(x^(x*r/k)).
    Recall the rule for exponents within the logarithm function:
    LNy=(x*r/k)LN(x).
    Now take derivatives of both sides:
    (1/y)(dy/dx)=...

    Can you finish it from here? Remember to substitute the original expression for y into the (1/y) term.
    shanus's Avatar
    shanus Posts: 17, Reputation: 0
    New Member
    		  
    #3

    Sep 6, 2005, 12:09 AM
    That's a nice way of doing it,
    I will be right from here.

    Thanks a heap :)
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