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Differentiation question

2020 · 7 Jan · Shift 1 · Q36
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Differentiation question

2020 · 7 Jan · Shift 1 · Q36

JEE MainMathematicsDifferentiationMCQ+4 / −1
If y(α)=2(tan⁡α+cot⁡α1+tan⁡2α)+1sin⁡2α,α∈(3π4,π)dydα  at α=5π6isy\left( \alpha \right) = \sqrt {2\left( {{{\tan \alpha + \cot \alpha } \over {1 + {{\tan }^2}\alpha }}} \right) + {1 \over {{{\sin }^2}\alpha }}} ,\alpha \in \left( {{{3\pi } \over 4},\pi } \right){{dy} \over {d\alpha }}\,\,at\,\alpha = {{5\pi } \over 6}isy(α)=2(1+tan2αtanα+cotα​)+sin2α1​​,α∈(43π​,π)dαdy​atα=65π​is :
  1. A
    4
  2. B
    -4
  3. C
    43{4 \over 3}34​
  4. D
    -14{1 \over 4}41​
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