How can the derivative be a function?
In this post, we understand the concept of the derivative as a function, as a part of the Prelim Maths Advanced course under the topic Calculus and sub-part The Derivative Function and its Graph. Once the derivative of a function is determined, that equation is able to be graphed again, and thus the derivative is a function.
This video below will help you further understand the derivative as a function, and how it can be graphed after being determined.