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Differentiation question

2018 · 16 Apr · Shift 1 · Q28
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  5. /2018 · 16 Apr · Shift 1 · Q28

Differentiation question

2018 · 16 Apr · Shift 1 · Q28

JEE MainMathematicsDifferentiationMCQ+4 / −1
If x=2cos⁡ec−1x = \sqrt {{2^{\cos e{c^{ - 1}}}}}x=2cosec−1​ and y=2sec−1t  (∣t∣≥1),y = \sqrt {{2^{se{c^{ - 1}}t}}} \,\,\left( {\left| t \right| \ge 1} \right),y=2sec−1t​(∣t∣≥1), then dydx{{dy} \over {dx}}dxdy​ is equal to :
  1. A
    yx{y \over x}xy​
  2. B
    xy{x \over y}yx​
  3. C
    −yx-{y \over x}−xy​
  4. D
    −xy-{x \over y}−yx​
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