Education.com
Try
Brainzy
Try
Plus

Higher Order Derivatives for AP Calculus

By — McGraw-Hill Professional
Updated on Oct 24, 2011

Practice problems for these concepts can be found at: Differentiation Practice Problems for AP Calculus

If the derivative f ' of a function f is differentiable, then the derivative of f ' is the second derivative of f represented by f '' (reads as f double prime). You can continue to differentiate f as long as there is differentiability.

Some of the Symbols of Higher Order Derivatives

Example 1

If y = 5x3 + 7x – 10, find the first four derivatives.

Example 2

.

.

Differentiate again:

.

Practice problems for these concepts can be found at: Differentiation Practice Problems for AP Calculus

Add your own comment