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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1
The function f(x)=x3−3xf(x)=x^3-3 x, is
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Correct option: A
Increasing on (−∞,−1]∪[1,∞)(-\infty,-1] \cup[1, \infty) and decreasing on (−1,1)(-1,1)
Option A (Increasing on (−∞,−1]∪[1,∞)(-\infty,-1] \cup[1, \infty) and decreasing on (−1,1)(-1,1)) is correct because the derivative is positive on (−∞,−1]∪[1,∞)(-\infty,-1] \cup[1, \infty) and negative on (−1,1)(-1,1).

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