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Differentiation question

2024 · 5 Apr · Shift 2 · Q40
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  5. /2024 · 5 Apr · Shift 2 · Q40

Differentiation question

2024 · 5 Apr · Shift 2 · Q40

JEE MainMathematicsDifferentiationMCQ+4 / −1
If y(θ)=2cos⁡θ+cos⁡2θcos⁡3θ+4cos⁡2θ+5cos⁡θ+2y(\theta)=\frac{2 \cos \theta+\cos 2 \theta}{\cos 3 \theta+4 \cos 2 \theta+5 \cos \theta+2}y(θ)=cos3θ+4cos2θ+5cosθ+22cosθ+cos2θ​, then at θ=π2,y′′+y′+y\theta=\frac{\pi}{2}, y^{\prime \prime}+y^{\prime}+yθ=2π​,y′′+y′+y is equal to :
  1. A
    12\frac{1}{2}21​
  2. B
    1
  3. C
    32\frac{3}{2}23​
  4. D
    2
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