JEE Main 2012 Mathematics question
Let f : (−∞, ∞) → (−∞, ∞) be defined by Statement 1: The function f has a local extremum at x = 0 Statement 2: The function f is continuous and differentiable on (−∞, ∞) and f′(0) = 0
Answer: (4)
Solution
does not change sign at 0 (f is increasing throughout), so x = 0 is a point of
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