Is the derivative of y = x^i equal to ix^{i-1} and is y always real?

MHD93
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Hello guys

Let
y = x^i
x is real, i imaginary, then is it right to say:

y' = ix^{i-1}

and must y be real?
 
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The derivative is correct. But why would you claim y is real? If you write it in terms of the exponential and expand, you see that y is complex.
 

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