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Determine the values of `x` for which the function `f(x)=x^2-6x+9` is increasing, or decreasing. Also, find the coordinates of the point on the curve `y=x^2-6x+9` where the normal is parallel to the line `y=x+5.`

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Here,
`f(x)=x^{2}-6 x+9 `
` f^{prime}(x)=2 x-6`
For f(x) to be increasing, we must have
...
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