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