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We are given y as a function of x, let's first compute dy/dx, and then solve the equation dy/dx =0. dy/dx = 9 -1/x^{2}. Then dy/dx = 0 is equivalent to 9 = 1/x^{2}. Taking x^{2} on the LHS and 9 on the RHS we obtain x^{2} = 1/9. Finally, the two values of x are -1/3 or 1/3.