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AP EAMCET · Maths · Differentiation

ddxsin2cot-11+x1-x=

  1. A 0
  2. B -12
  3. C 12
  4. D -1
Verified Solution

Answer & Solution

Correct Answer

(C) 12

Step-by-step Solution

Detailed explanation

Let y=sin2cot-11+x1-x Put  x=cos2θ dxdθ=-2sin2θ 1-cos2θ1+cos2θ=tanθ y=sin2cot-1tanθ y=sin2cot-1cotπ2-θ y=sin2π2-θ y=cos2θ dydθ=2cosθ.-sinθ dydx=dydθdxdθ=12 dydx=12
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