In this video we are going to take a look at higher derivatives. The second derivative, or second order derivative, is the derivative of the derivative of a function. The derivative of the function f(x) may be denoted by f(x), and its double (or 'second') derivative is denoted by f(x). Furthermore, the third derivative is the derivative of the derivative of the derivative of a function, which can be represented by f (x). This can continue as long as the resulting derivative is itself differentiable, with the fourth derivative, the fifth derivative, and so on. Any derivative beyond the first derivative can be referred to as a higher derivative. We will practice this on several examples.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.