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Examples ofderivative test
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The secondderivativetestfor 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 usual secondderivativetest.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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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 the secondderivativetestfrom basic calculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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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 the secondderivativetestfor many variables also applies in the two-variable and one-variable case.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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This example is from Wikipedia and may be reused under a CC BY-SA license.If it is zero, then the secondderivativetestis inconclusive.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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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 the secondderivativetest.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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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 firstderivativetest, secondderivativetest, or higher-orderderivativetest, given sufficient differentiability.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This is called the secondderivativetest.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
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.