Answer
f'(x)=0. i.e the derivative is 0.
Work Step by Step
f(x)=-9 can be rewritten as f(x)=-9$*$x$^0$ since x$^0$=1. Then using the power rule f'(x)=0$*$-9x$^0$=0. You can take this to be a general rule: The derivative of a constant is 0.
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