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jasss jasss
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Provide an appropriate response.

Imagine there is a function for which f'(x) = 0 for all x. Does such a function exist? Is it reasonable to say that all values of x are critical points for such a function? Is it reasonable to say that all values of x are extreme values for such a function. Give reasons for your answer.
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Calculus: Early Transcendentals


Edition: 3rd
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majed320majed320
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More questions for this book are available here
Yes. the function is a flat line f(x) = C. One may say that every value of x is a critical point since critical points are by definition points where But none of these points correspond to extreme values.

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