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Let f(x)=3x^(4)+4x^(3)-12x^(2)+12. Find ...

Let `f(x)=3x^(4)+4x^(3)-12x^(2)+12`. Find local maximum and minimum value of the f(x) ?

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`f(x)=3x^4+4x^3-12x^2+12`
`f'(x)=12x^3+12x^2-24x=12x(x-1)(x+2)`
Put f'(x)=0 `implies 12x(x-1)(x+2)=0
implies x=0,x=1,x=-2` ...
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