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let f(x)=2x^3-3(a-3)x^2+6ax+a+2 where ai...

let `f(x)=2x^3-3(a-3)x^2+6ax+a+2` where `ain R` the set of values of a for which `f(x)` has no point of extrema is (A) `(1,10)` (B) `(2,7)` (C) `(3,10)` (D) `(8,9)`

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