How would one use the complex exponential to find something like this:(adsbygoogle = window.adsbygoogle || []).push({});

[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. Im guessing there is another way?

thanks in advance.

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# Using the Complex Exponential

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