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CUET
-- Mathematics - Section A
Relations and Functions
The function f(x)=x3−3x is : |
Increasing in (0, ∞) and decreasing in (-∞, 0) Decreasing in (0, ∞) and increasing in (-∞, 0) Decreasing in (-∞,-1] ∪ [1, ∞) and increasing in (-1, 1) Increasing in (-∞, -1] ∪ [1,∞) and decreasing in (-1, 1) |
Increasing in (-∞, -1] ∪ [1,∞) and decreasing in (-1, 1) |
The correct answer is Option (4) → Increasing in (−∞,−1]∪[1,∞) and decreasing in (−1,1) f(x)=x3−3x f′(x)=3x2−3=0⇒x=1,−1 using wavy curve method f(x) is increasing in (−∞,−1]∪[1,∞) decreasing in (−1,1) |