Let for all real

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let f(x)=x+tan⁡−1xf(x)=x+\tan^{-1}x for all real xx. How many points of local maxima or minima does ff have on R\mathbb{R}? (a) 22 (b) 00 (c) Infinitely many (d) 11

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