Find f'(x) and f"(x). f(x) x2 - 1 -? – 1 7² - 1 2 f'(x) f"(x)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find \( f'(x) \) and \( f''(x) \).

Given:

\[ f(x) = \frac{x}{x^2 - 1} \]

First Derivative:

\[ f'(x) = \frac{-x^2 - 1}{(x^2 - 1)^2} \]

Second Derivative:

\[ f''(x) = \]

(Note: The box for \( f''(x) \) is left blank for further calculation.)
Transcribed Image Text:Find \( f'(x) \) and \( f''(x) \). Given: \[ f(x) = \frac{x}{x^2 - 1} \] First Derivative: \[ f'(x) = \frac{-x^2 - 1}{(x^2 - 1)^2} \] Second Derivative: \[ f''(x) = \] (Note: The box for \( f''(x) \) is left blank for further calculation.)
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