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The difference is that XYZ was a first-order derivative — its assets included real mortgages owned by actual homeowners.
(d) Second order derivative.
A first-order derivative is.
where is the 4th-order derivative of.
where denotes the first-order derivative of.
where is the th-order derivative of.
This equation holds higher-order derivative terms.
As second-order derivative is much more aggressive than first-order derivative in enhancing sharp changes, it can enhance noise points much more than first-order derivative.
The Caputo fractional order derivative is defined as follows.
In this letter the half-order derivative was first mentioned.
The first and order derivative are separately shown in Eqs.
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