If a function f(x) is defined as f(x) = x^3 - 3x, what is the nature of its critical points?
Practice Questions
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Q1
If a function f(x) is defined as f(x) = x^3 - 3x, what is the nature of its critical points?
They can be local maxima, local minima, or points of inflection.
They are always local maxima.
They are always local minima.
They do not exist.
Critical points of a function can be local maxima, local minima, or points of inflection, depending on the behavior of the function around those points.
Questions & Step-by-step Solutions
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Q
Q: If a function f(x) is defined as f(x) = x^3 - 3x, what is the nature of its critical points?
Solution: Critical points of a function can be local maxima, local minima, or points of inflection, depending on the behavior of the function around those points.
