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First derivative test

53 bytes added, 21:50, 6 May 2012
No requirement of differentiability at the point
| <math>f</math> does not have well defined one-sided derivatives at <math>c</math>, but the derivative is defined on the immediate left and immediate right || <math>f(x) := x^{2/3}</math>, <math>c = 0</math> (get local minimum)<br><math>f(x) := x^{1/3}</math>, <math>c = 0</math> (get neither, as the function increases through the point) || [[File:Twothirdspower.png|100px]][[File:Onethirdpower.png|100px]]
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==Conclusive and inconclusive cases==
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