True or False: The tangent to the graph of f(x) = x/(x^2 + 1) at x = 0 has slope = 2

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True or False: The tangent to the graph of f(x) = x/(x^2 + 1) at x = 0 has slope = 2

[From: ] [author: ] [Date: 12-04-27] [Hit: ]

False. It is 1.

f(x) = x / (x² + 1)
f '(x) = (x² + 1 - x(2x)) / (x² + 1)²
f '(x) = (1 - x²) / (x² + 1)²
f '(0) = 1

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