9000063305

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9000063305

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Differentiate the following function.

f (x) = \sqrt{\frac{x - 1}{x + 1}}

f^{'} (x) = \frac{1}{(x + 1)^{2}} \sqrt{\frac{x + 1}{x - 1}}, x \in (- \infty; - 1) \cup (1; \infty)

f^{'} (x) = \frac{\sqrt{x - 1}}{(x - 1)^{2} \sqrt{x + 1}}, x \in (- \infty; - 1) \cup [1; \infty)

f^{'} (x) = \frac{x - 1}{2 \sqrt{(x + 1)^{3}}}, x \neq - 1

f^{'} (x) = \frac{x - 1}{\sqrt{(x + 1)^{3}}}, x \in (- \infty; - 1) \cup [1; \infty)

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