Answer :
Answer:
The nth derivative of a function f(x) = x^(-9) can be found using the power rule of derivatives, which states that (x^n)' = nx^(n-1).
So, we have:
f^(n)(x) = [(x^(-9))^n]' = (-9)^n * (x^(-9))^(n-1) = (-9)^n * x^(-9n-9)
Thus, the general formula for the nth derivative of the function f(x) = x^(-9) is (-9)^n * x^(-9
