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Question by  ljord55 (28)

How do I find a second derivative using a complex logarithm?

 
+6

Answer by  therealscl (59)

First, you have an equation. You may use logarithmic differentiation if needed. Otherwsie it will suffice to use the usual definition (d/dx [ln x] = 1/x). Either take the log of both sides then differentiate, or differentiate directly. Then you have the first derivative. Repeat the action on this derivative.

 
+5

Answer by  willard (874)

You can't. You can take the second derivative of a complex exponential, like e^{ikx}, the same way you would take the second derivative of a real exponential, e^{ax}.

 
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