For the function f(x)= ^ -1 x+ ^ -1 x^ 2 which of the following statements is/are true
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
For the function \(f(x)=\cos ^{-1} x+\cos ^{-1} x^{2}\) which of the following statements is/are true
- \(f(x)\) is always decreasing
- \(f(x)\) is decreasing in [0, 1] and increasing in [-1, 0]
- \(f(x)\) has only one local maxima
- \(f(x)\) has only one local minima
Answer
(B) f(x) is decreasing in [0, 1] and increasing in [-1, 0]
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