The derivative of d[ax^n]/dx can be found using the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1). So applying this rule, we can find the derivative of ax^n with respect to x as:
d[ax^n]/dx = a* d[x^n]/dx
= a* n*x^(n-1)
Therefore, the final answer would be a*n*x^(n-1).
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