How would I derive 3^x^3 using first principles?

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`(d)/(dx) 3^(x^3) = (d)/(dx) e^(x^3 ln 3) = e^(x^3 ln 3) (d)/(dx) (x^3 ln 3)`

Final answer `(d)/(dx) 3^(x^3) = (3 ln 3) x^2 3^(x^3)`

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