Higher-order derivative test
- Higher-order derivative test
-
In mathematics, the higher-order derivative test is used to find maxima, minima, and points of inflexion for sufficiently differentiable functions.
The test
Let ƒ be a differentiable function on the interval I and let c be a point on it such that
exists and is non-zero.
Then,
- if n is even
is a point of local maximum
is a point of local minimum
- if n is odd
is a point of inflection.
See also
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