Higher Order Derivatives
So far, we have limited our discussion to calculating first derivative, f ' (x) of a function f (x). What if we are asked to calculate higher order derivatives of f (x).
A simple example of this is finding the acceleration of a body from a function that gives the location of the body as a function of time. The derivative of the location with respect to time is the velocity of the body, followed by the derivative of velocity with respect to time being the acceleration. Hence, the second derivative of the location function gives the acceleration function of the body.
Learn more about higher order derivatives by reading the explanation below.
Practice: Answer the following exercises about higher order derivatives.