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.