# A complex differentiation ?

Calculus Level pending

What is the differentiation of y with respect to x if $$y=ln e^{n(\pi)i}$$ where n is a natural number? If the answer can be represented as $$\frac{p}{q}$$.Then find the derivative of $$p+q$$ Hint:$$ln$$ is the natural log which is equal to $$log_{e}$$

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