How can I calculate the derivative of f(x,t) = expi(kx-wt)?

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How do I differentiate

f(x,t) = expi(kx-wt)

f'(x,t) = ?
f''(x,t) = ?
 
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What do your primes denote differentiation with respect to?

Write your expression as exp(ikx).exp(-iwt). Depending upon what you are differentiating with respect to, one of these terms can be treated as a constant. You know how to differentiate exp(x), right?
 
Does it make a difference if "i" is involved?
 
No .
 
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