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Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) ...

Let f(x)`=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1.` If f(x) has positive point of maxima then find possible values of 'a'

A

`a in (3 , oo) cup (-oo , -3)`

B

`a in (-oo , -3) cup (3 , 29//7)`

C

`(-oo, 7)`

D

`(-oo , 29//7)`

Text Solution

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The correct Answer is:
B
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