`f(x) = x/(x-1)` Find the second derivative of the function.

Textbook Question

Chapter 2, 2.3 - Problem 95 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = x/(x-1)`

`f'(x) = [(x-1) - x]/(x-1)^2`

`or, f'(x) = -1/(x-1)^2`

`f''(x) = 2/(x-1)^3`

`or, f''(x) = 2(x-1)^-3`

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