Determine the derivative of the function ƒ(x) = x^3 − 12x^2. Now determine the derivative of the function g(x) = x^3 − 12x^2 + 6. How are the two functions related? How are the derivatives of the two functions related?

Question

I know the derivative, however how do i explain how the functions are related except that they are the exact same but one has a vertical translation up 6 units?

Answer 1

That is in fact how they are related.
And since the graphs are identical, the derivatives are the same.