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?
These are the family of parabolas with same slope only difference is in the constant which has been added in g(x)
f'(x)=g'(x)=3x^2 - 24x.