Find the absolute maximum and absolute minimum values of `f(x)=3x^4-8x^3+12 x^2-48 x+25` in `[0,\ 3]`

Explanation

`f(x)=3 x^{4}-8 x^{3}+12 x^{2}-48 x+25`

`f^{prime}(x)=12 x^{3}-24 x^{2}+24 x-48`

Put `f^{prime}(x)=0`,

`12 x^{3}-24 x^{2}+24 x-48=0 `

`(x-2)(12 x^{2}+24)=0 `

`(x-2) 12(x^{2}+2)=0 `

`x-2=0 `

`x=2 `

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