Category:Second Derivatives
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This category contains results about Second Derivatives.
Definitions specific to this category can be found in Definitions/Second Derivatives.
Let $f$ be a real function which is differentiable on an open interval $I$.
Hence $f'$ is defined on $I$ as the derivative of $f$.
Let $\xi \in I$ be a point in $I$.
Let $f'$ be differentiable at the point $\xi$.
Then the second derivative $\map {f} \xi$ is defined as:
- $\ds f := \lim_{x \mathop \to \xi} \dfrac {\map {f'} x - \map {f'} \xi} {x - \xi}$
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