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Provide an appropriate response.Imagine there is a function for which f'(x) = 0 for all x. Does ...
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Provide an appropriate response.Imagine there is a function for which f'(x) = 0 for all x. Does ...
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:
3
^{rd}
Authors:
Briggs, Cochran, Gillett, Schulz
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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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