Second Derivative

The second derivative is the derivative of the derivative. To find the second derivative, first find the derivative of the given function, then considering this as another function, evaluate its derivative.

For example, for the function

First derivative,

Second derivative is the derivative of the above function f `(x),

Notation

The second derivative is represented by two prime symbols after f, as in f ``(x). Similarly, the first, fourth and fifth derivatives are represented by f ```(x), f⁴(x) and f⁵(x)