Asked by Court

Corey is asked to find the maximum value of a function. Not having a complete understanding of the process, Corey decides to find the derivative of the function, set it equal to zero, and solve. The resulting value, Corey reasons, will yield the maximum point. Explain fully why Corey’s method is flawed.

Answers

Answered by Reiny
It could have yielded a minimum value, and there is no maximum value.

setting the derivative equal to zero and solving for x, gives you the x where either a maximum or a minimum occurs.
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