In
mathematics (usually covered in study of
The Calculus or
Physics), the
derivative of the
derivative. I.E.: Take the derivative of a function, and then take the derivative of that derivative. This describes the rate of change of the rate of change (or
slope of the
slope) of the original function.
Example:
Function: F(X) = X^3 + X^2 + X
Derivative: F`(X) = 3X^2 + 2X + 1
Double Deriv.: F``(x) = 6X + 2
The
double derivative is most often used to find the
acceleration of an
object or
particle.