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Application of Derivatives question

2020 · 3 Sep · Shift 1 · Q27
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  5. /2020 · 3 Sep · Shift 1 · Q27

Application of Derivatives question

2020 · 3 Sep · Shift 1 · Q27

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
The function, f(x) = (3x – 7)x2/3, x ∈\in∈ R, is increasing for all x lying in :
  1. A
    (−∞,0)∪(37,∞)\left( { - \infty ,0} \right) \cup \left( {{3 \over 7},\infty } \right)(−∞,0)∪(73​,∞)
  2. B
    (−∞,0)∪(1415,∞)\left( { - \infty ,0} \right) \cup \left( {{{14} \over {15}},\infty } \right)(−∞,0)∪(1514​,∞)
  3. C
    (−∞,1415)\left( { - \infty ,{{14} \over {15}}} \right)(−∞,1514​)
  4. D
    (−∞,1415)∪(0,∞)\left( { - \infty ,{{14} \over {15}}} \right) \cup \left( {0,\infty } \right)(−∞,1514​)∪(0,∞)
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