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JEE Math Practice Question

Let $$y$$ be an implicit function of $$x$$ defined by $${x^{2x}} - 2{x^x}\cot \,y - 1 = 0$$. Then $$y'(1)$$ equals

  1. A.$$1$$
  2. B.$$\log \,2$$
  3. C.$$-\log \,2$$
  4. D.$$-1$$

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