Critical Points of a Function?

Critical Points of a Function?
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I have a question to solve about maxima and minima on a closed interval, and in this question gave this first step: 1- find the values of f on critical points And to do this, you take the function and take the derivative of the function, but what if the derivative of the function is just the number 3? That means that the function does not have critical points?

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1 Answer

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"Critical points" or a function are defined as points at which the derivative is 0 or does not exist. If the derivative is the constant, 3, then it is never 0 and exist for all x. Yes, if the derivative is the constant, 3, then the function has no critical points.

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Sarah Jenkins
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Sarah Jenkins

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.