The function f(x)= (1+x)- 2 x 2+x is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The function \(f(x)=\log (1+x)-\frac{2 x}{2+x}\) is
  1. Increasing for all \(x>0\)
  2. Decreasing for all \(x>0\)
  3. Neither increasing nor decreasing
  4. None of these

Answer

(A) Increasing for all x>0

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