If f (x) = 2 tan –1 x + cos –1 ( 1-x^ 2 1+x^ 2 ), then
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If f (x) = 2 tan–1 x + cos–1 \(\left(\frac{1-x^{2}}{1+x^{2}}\right),\) then
- \(f^{\prime}(-2)=\frac{4}{5}\)
- \(f^{\prime}(-1)=-1\)
- \(\mathrm{f}^{\prime}(\mathrm{x})=0 \text { for all } \mathrm{x}<0\)
- None of these
Answer
(C) f ^ ( x )=0 for all x <0
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