Fermat's Theorem
If $$f(x)$$ has a local extremum at an interior point $$x=c$$ and is differentiable at $$c$$, then:
$$f'(c)=0$$
Usage
- Provides the theoretical basis for locating stationary points corresponding to differentiable local extrema.
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CAT Formulas
Applications of Derivatives
Fermat's Theorem
Fermat's Theorem
If $$f(x)$$ has a local extremum at an interior point $$x=c$$ and is differentiable at $$c$$, then:
$$f'(c)=0$$
Usage
- Provides the theoretical basis for locating stationary points corresponding to differentiable local extrema.
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