Need help solving this derivatives problem.

Answer:
[tex]f^{(4)}(x)=-\dfrac{12}{x^2}\\\\f^{(5)}=\dfrac{24}{x^3}[/tex]
Step-by-step explanation:
Correct so far.
For the next derivatives, the power rule applies.
4th derivative = (d/dx)(12x^-1) = -12x^-2 = -12/x^2
5th derivative = (d/dx)(-12x^-2) = (-2)·(-12)·x^-3 = 24/x^3