CBSE

MATHEMATICS · Multi correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)=x−2x−1x−1−1⋅xf(x)=\frac{\sqrt{x-2\sqrt{x-1}}}{\sqrt{x-1}-1}\cdot x. Then (1) The domain of f(x)f(x) is x≥1x\ge1. (2) The domain of f(x)f(x) is [1,∞)∖{2}[1,\infty)\setminus\{2\}. (3) f′(10)=1f'(10)=1. (4) f′(32)=−1f'\left(\frac{3}{2}\right)=-1.

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