Question

Find the derivative x+1/x-1​

Answer 1

Answer:

$\frac{ - 2}{ {(x - 1)}^{2} }$

Step-by-step explanation:

$\frac{x + 1}{x - 1} = \frac{x - 1 + 2}{x - 1} = 1 + \frac{2}{x - 1} \\ \frac{d}{dx} (1 + \frac{2}{x - 1} ) = 0 + 2 \frac{d}{dx} ( \frac{1}{x - 1} ) = 2 \frac{ - 1}{ {(x - 1)}^{2} } = \frac{ - 2}{ {(x - 1)}^{2} }$

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