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```				   Let S be the set of real values of parameter k for which te eqn f(x) = 2x 3 - 3(2+k)x 2 +12kx has exactly one local minimum and exactly one local maximum.  S is a subset of
(a) (-4, ∞)      (b) (-3,3)        (c) (3,∞)   (d)  (- ∞,0
```

7 years ago

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```										f '(x) = 6(x2 - x(2+k) +2k ) =0
so roots of f '(x) are 2,k
f "(x) = 6( 2x -(2+k))
to have one local minima ( f "(x) > 0 )and local maxima ( f "(x) < 0 )
so , its k > 2 which is subset of (-4, infinity)
option A
--
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we will get you the answer and detailed solution very quickly.We are all IITians and here to help you in your IIT JEE preparation. All the best.

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IIT Kgp - 2005 batch

```
7 years ago

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