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Find both the maximum and the minimum value of `3x^4-8x^3+` `12 x^2-48 x+1` on the interval `[1,4]` .

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
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  8. Find the maximum value of 2x^3-24 x+107 in the interval [1,\ 3] .

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