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The first derivative test and the classification of stationary points
Published online by Cambridge University Press: 12 November 2024
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Given a real differentiable function f we say that a point x0 is a stationary point of f if f′ (x0) = 0.
In any standard single-variable calculus class, students learn how to determine the nature of a stationary point by checking the sign of f(x) in intervals to the left and to the right of the stationary point. In doing so, they are performing the first derivative test.
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- © The Authors, 2024 Published by Cambridge University Press on behalf of The Mathematical Association
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