- #1

- 68

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[tex] \frac{\partial}{\partial x} e^{i(\alpha x + \beta t)} [/tex]

But I'm not really sure how to do so. I get that since I'm taking the partial w.r.t. x, I can treat t as a constant term and thus pretend it's something like

[tex] \frac{\partial}{\partial x} e^{i(\alpha x +\beta)} [/tex]

But then my confusion comes from me not being able to separate the exponent into some suitable form like

[tex] e^{\alpha + \beta i} [/tex]

I guess I could separate it into two separate ones, like

[tex] e^{i\alpha x}e^{i\beta} [/tex]

How should I deal with this, any pushes in the right direction?