As you approach the seventh gate, you notice that it is only a short distance to the area where your computer indicated the communication device was stored. You look past the gate hopefully, as your computer translates: The passcode for this gate is found by determining the domain of the derivative of f(x) and then evaluating the derivative at x = -- 56 74 f(x)=8-74x. Domain of f'(x): Enter the domain in interval notation. ' (-56) sin (a) a Explain, in your own words and with your own work, how you arrived at this result. Be sure to explain using calculus concepts to best support the work of the game design team.