The maximum and the minimum value of the function x3(2x−1)3,are ?
A
max.value =0,min value =−1512
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B
max.value =81,min value =−1512
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C
max value =1,min value =0
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D
None of these
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Solution
The correct option is B None of these x3(2x−1)3 =[x(2x−1)]3 =(2x2−x)3 Minimum value of 2x2−x occurs at x=14 Substituting x=14 gives: −1512 The above polynomial as no maximum as it can take arbitrarily large values as x grows.