Word info

second derivative

Noun

Meaning

second derivative (plural second derivatives)

(calculus) The derivative of the derivative of a function.
Synonym: second-order derivative
Coordinate term: first derivative

Source: en.wiktionary.org

Examples

If x is in degrees, then : This means that the second derivative of a sine in degrees does not satisfy the differential equation : but rather : The cosine's second derivative behaves similarly. Source: Internet

If a cubic polynomial has a triple root, it is a root of its derivative and of its second derivative, which is linear. Source: Internet

If the function is continuously differentiable and its derivative is not 0 at α and it has a second derivative at α then the convergence is quadratic or faster. Source: Internet

If the second derivative is not 0 at α then the convergence is merely quadratic. Source: Internet

In a way, architecture documents are third derivative from the code ( design document being second derivative, and code documents being first). Source: Internet

No second derivative If there is no second derivative at the root, then convergence may fail to be quadratic. Source: Internet

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