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First Derivative Test for Local Minimum
If $$f'(x)$$ changes sign from negative to positive at $$x=c$$:
$$-\rightarrow+$$
then $$f(c)$$ is a local minimum.
Usage
- Used to classify a critical point using the first derivative.
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First Derivative Test for Local Minimum
If $$f'(x)$$ changes sign from negative to positive at $$x=c$$:
$$-\rightarrow+$$
then $$f(c)$$ is a local minimum.
Usage
- Used to classify a critical point using the first derivative.
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