Question #e236a

1 Answer
Nov 27, 2017



A derivative is essentially an expression for the instantaneous rate of change of a function. Therefore, when your function has no rate of change, your instantaneous rate of change (i.e. your derivative) will be 0.

This is what's happening in your case: #tan(30°)# is a just a number --- a constant. You can infer this from the graph below:

Created on desmos

Notice that even as your x-values keep increasing, y-values do not

Therefore, it has a derivative of 0.

For more info on the concept of a derivative, check out the video below:

Hope that helped :)