Necessary Condition for Local Extrema
If $$f(x)$$ is differentiable at an interior point $$x=c$$ and has a local maximum or minimum there, then:
$$f'(c)=0$$
Usage
- Used to find candidates for local extrema.
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CAT Formulas
Applications of Derivatives
Necessary Condition for Local Extrema
Necessary Condition for Local Extrema
If $$f(x)$$ is differentiable at an interior point $$x=c$$ and has a local maximum or minimum there, then:
$$f'(c)=0$$
Usage
- Used to find candidates for local extrema.
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