一条曲线的方程为

求该曲线驻点的坐标，并确定这些驻点的性质。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

求导并因式分解以找到驻点，再用二阶导数的符号判断极大或极小。

The derivative is $3x^2-6x=3x(x-2)$, so $x=0$ or $x=2$. Substitution gives the points $(0,9)$ and $(2,5)$. The second derivative is $6x-6$. At $x=0$ it equals $-6<0$, and at $x=2$ it equals $6>0$. Thus $(0,9)$ is a local maximum and $(2,5)$ is a local minimum.