What is derivative of a function PART 2 (simplest example)

In the last post, we explored the graphical definition of the derivative. Now, we can use this idea to solve a simple problem.

Can we calculate the derivative of a constant function at every point? Let’s consider the function $y = c$, where $c$ is a real constant.

Yes, we can. We now understand that the derivative measures how a function changes over an interval as that interval approaches a specific point. However, a constant function does not change at all. Therefore, the derivative of any constant function is 0 at every point $x$.

new terms and vocabulary

• graphical definition
• solve a simple problem
• where $c$ is a real constant
• how a function changes over an interval
• Therefore
• does not change at all.