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Application of Derivatives question

2021 · 25 Jul · Shift 1 · Q24
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  5. /2021 · 25 Jul · Shift 1 · Q24

Application of Derivatives question

2021 · 25 Jul · Shift 1 · Q24

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let f(x)=3sin⁡4x+10sin⁡3x+6sin⁡2x−3f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3f(x)=3sin4x+10sin3x+6sin2x−3, x∈[−π6,π2]x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]x∈[−6π​,2π​]. Then, f is :
  1. A
    increasing in (−π6,π2)\left( { - {\pi \over 6},{\pi \over 2}} \right)(−6π​,2π​)
  2. B
    decreasing in (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π​)
  3. C
    increasing in (−π6,0)\left( { - {\pi \over 6},0} \right)(−6π​,0)
  4. D
    decreasing in (−π6,0)\left( { - {\pi \over 6},0} \right)(−6π​,0)
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