What is the derivative of 2 over x powered by 9?

Answer 1

The answer will depend on whether the original function is 2/x9 or (2/x)9 but the difference is only in the coefficient.
In the first case the derivative is -18/x10 and in the second it is -4608/x10.

Answer 2

Using "^" for powers.

1 / x^9 can be written as x^(-9); once you write it this way, you can easily use the rule for the derivative of a power.