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Examples ofsecond derivative test
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Thesecondderivativetestfor functions of one and two variables is simple.
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This example is from Wikipedia and may be reused under a CC BY-SA license.In the latter case, we recover the usualsecondderivativetest.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These can be classified then using thesecondderivativetestfrom basic calculus.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Note also that this statement of thesecondderivativetestfor many variables also applies in the two-variable and one-variable case.
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This example is from Wikipedia and may be reused under a CC BY-SA license.If it is zero, then thesecondderivativetestis inconclusive.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The eigenvalues of this matrix can be used to implement a multivariable analogue of thesecondderivativetest.
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This example is from Wikipedia and may be reused under a CC BY-SA license.One can distinguish whether a critical point is a local maximum or local minimum by using the first derivative test,secondderivativetest, or higher-order derivative test, given sufficient differentiability.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This is called thesecondderivativetest.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.