JEE Math Practice Question
If $$x=-1$$ and $$x=2$$ are extreme points of $$f\left( x \right) = \alpha \,\log \left| x \right|+\beta {x^2} + x$$ then
- A.$$\alpha = 2,\beta = - {1 \over 2}$$
- B.$$\alpha = 2,\beta = {1 \over 2}$$
- C.$$\alpha = - 6,\beta = {1 \over 2}$$
- D.$$\alpha = - 6,\beta = -{1 \over 2}$$
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