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The least and greatest values of f(x)...

The least and greatest values of `f(x)=x^3-6x^2+9x` in `[0,\ 6]` , are `3,\ 4` (b) `0,\ 6` (c) `0,\ 3` (d) `3,\ 6`

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`\text { Given: } f(x)=x^{3}-6 x^{2}+9 x`
`\Rightarrow f^{\prime}(x)=3 x^{2}-12 x+9`
For a local maxima or a local minima, we must have
`f^{\prime}(x)=0 ` ...
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