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

Expert Answers
beckden eNotes educator| Certified Educator

`(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)`