The derivative of x to the power of n is:
d/dx[x^n] = n*x^(n-1)
This means that when we take the derivative of x to the power of n, we bring down the exponent n as the coefficient of x, and then decrease the exponent by one. For example, if we were to take the derivative of x cubed (n=3), we would get:
d/dx[x^3] = 3*x^(3-1)
= 3*x^2
Therefore, the derivative of x to the power of n is n times x to the power of n-1.
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