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If the function f given by f(x)=x^(3)-3(...

If the function f given by `f(x)=x^(3)-3(a-2)x^(2)+3ax+7`,for some a in R is increasing in `(0,1]` and decreasing in `[1,5) ` then a root of the equation,`(f(x)-14)/((x-1)^(2))=0(x!=1)` is

A

5

B

7

C

`-7`

D

`-6`

Text Solution

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The correct Answer is:
B
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