Lesson: Second- and Higher-Order Derivatives Mathematics • Higher Education

In this lesson, we will learn how to find second- and higher-order derivatives of a function including using differentiation rules.

Lesson Plan

Students will be able to

understand that the derivative of a function can itself be differentiated to form a higher-order derivative of the original function,
understand and use the notation for higher-order derivatives, including prime notation and derivative notation,
find the second-, third-, and higher-order derivatives for a function,
find the value of the second-, third-, and higher-order derivatives of a function at a given point.

Q1:

Given that , determine .

Q2:

Find the third derivative of the function .

Q3:

Determine the value of the second derivative of the function at .