(Solved): \[ f(x)=x^{3}-12 x+1 \] relative maximum \( \quad(x, y)=( \) relative minimum \( \quad(x, y)=( \) [ ...

\[ f(x)=x^{3}-12 x+1 \] relative maximum \( \quad(x, y)=( \) relative minimum \( \quad(x, y)=( \) [0/1 Points] TANAPCALC10 4.1.070. Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) \[ f(x)=x+\frac{9}{x}+8 \] relative maximum \( (x, y)=(x) \) relative minimum \( (x, y)=\left(\begin{array}{l}x\end{array}\right) \)