JEE Main 20203 Sep, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002The function, f(x) = (3x – 7)x2/3, x ∈\in∈ R, is increasing for all x lying in :AOption A. (−∞,0)∪(37,∞)\left( { - \infty ,0} \right) \cup \left( {{3 \over 7},\infty } \right)(−∞,0)∪(73,∞)BOption B. (−∞,0)∪(1415,∞)\left( { - \infty ,0} \right) \cup \left( {{{14} \over {15}},\infty } \right)(−∞,0)∪(1514,∞)COption C. (−∞,1415)\left( { - \infty ,{{14} \over {15}}} \right)(−∞,1514)DOption D. (−∞,1415)∪(0,∞)\left( { - \infty ,{{14} \over {15}}} \right) \cup \left( {0,\infty } \right)(−∞,1514)∪(0,∞)CheckSkip · show solution
