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How would one use the complex exponential to find something like this:
[tex] \frac{{d^{10} }}{{dx^{10} }}e^x \cos (x\sqrt 3 )[/tex]
I'm guessing we'd have to convert the cos into terms of [tex]e^{i\theta }[/tex] but the only thing I can think of doing then is going through each of the derivatives. I am guessing there is another way?
thanks in advance.
[tex] \frac{{d^{10} }}{{dx^{10} }}e^x \cos (x\sqrt 3 )[/tex]
I'm guessing we'd have to convert the cos into terms of [tex]e^{i\theta }[/tex] but the only thing I can think of doing then is going through each of the derivatives. I am guessing there is another way?
thanks in advance.