What is the first derivative test for critical points?
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First Derivative Test. If c is a critical point for f(x), such that f '(x)changes its sign as x crosses from the left to the right of c, then c is alocal extremum. So the critical point is a local maximum. So the critical point 0 is a local minimum.
First Derivative Test. If c is a critical point for f(x), such that f '(x)changes its sign as x crosses from the left to the right of c, then c is alocal extremum. So the critical point is a local maximum. So the critical point 0 is a local minimum.
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