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JEE Math Practice Question

The function f(x) = $${{4{x^3} - 3{x^2}} \over 6} - 2\sin x + \left( {2x - 1} \right)\cos x$$ :

  1. A.increases in $$\left( { - \infty ,{1 \over 2}} \right]$$
  2. B.decreases in $$\left( { - \infty ,{1 \over 2}} \right]$$
  3. C.increases in $$\left[ {{1 \over 2},\infty } \right)$$
  4. D.decreases in $$\left[ {{1 \over 2},\infty } \right)$$

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