I have a math problem that requires a derivative I have never seen before. What is:
d( X + Xo )^n / dn ?
In this case the need is to differentiate the variable that raises to the power of. Any suggestions would be appreciated.
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hint: take the log of both sides of e.g. y = (X + Xo)^n -> log(abs(y)) = n*log(abs(X+ Xo)) and use implicit differentiation + product rule
= d( e^ ( n ln(X+Xo) ) / dn
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d(a^u) = a^u(ln(a))du ...Jim Thompson
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Question is Lim dn->0 [(a^dn)-1]/dn
Bye Jack
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