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2020-02-17T15:16:48+00:00
First derivative test
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Test
2013-03-07T21:14:36Z
2456359.3851389
First derivative test
First derivative test is inconclusive for function whose derivative has ambiguous sign around the point
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First derivative test is inconclusive for function whose derivative has ambiguous sign around the point
First derivative test fails for function that is discontinuous at the critical point
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First derivative test fails for function that is discontinuous at the critical point
First derivative test is conclusive for differentiable function at isolated critical point
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First derivative test is conclusive for differentiable function at isolated critical point
First derivative test is conclusive for function with algebraic derivative
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First derivative test is conclusive for function with algebraic derivative
First derivative test is conclusive for locally analytic function
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First derivative test is conclusive for locally analytic function
First derivative test is conclusive for differentiable function at isolated critical point
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First derivative test is conclusive for differentiable function at isolated critical point
First derivative test and one-sided derivative test are incomparable
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First derivative test and one-sided derivative test are incomparable
Second derivative test operates via first derivative test
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Second derivative test operates via first derivative test
Second derivative test is not stronger than first derivative test
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Second derivative test is not stronger than first derivative test
First derivative test is conclusive for function with algebraic derivative
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First derivative test is conclusive for function with algebraic derivative
First derivative test is conclusive for locally analytic function
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First derivative test is conclusive for locally analytic function
Variation of first derivative test for discontinuous function with one-sided limits
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Variation of first derivative test for discontinuous function with one-sided limits
One-sided version of second derivative test
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One-sided version of second derivative test
One-sided version of higher derivative test
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One-sided version of higher derivative test
1st derivative test
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1st derivative test
Inconclusive case for
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Inconclusive case for
Conclusive case for
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Conclusive case for
Fact about
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Fact about
Variation of
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Variation of
Uses
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Uses