The number lines representing the appropriate derivative(s) for the problem. 2) Any test values that you are using. 3) Either the full calculations and/or sign charts that you are using to establish the signs of the derivatives. Simply recording what the signs on the number line are without supporting work is NOT enough and voids any answers given to the problem regardless of whether they are correct or not. For each of the following:(i) Determine the intervals on which the following functions are increasing and decreasing.(ii) Use the first derivative test to classify each of the critical points as a relative minimum, a relativemaximum, or neither one.Make sure that you read the directions on the front cover before attempting problems 1,2, and 3 and ISTRONGLY recommend that you review the lecture examples referenced in those instructions to lessen thepossibility of losing points due to not showing the necessary work to support your answers. If you find thatyou are unsure whether or not you are showing the required work, let me see what you are showing for theproblem(s) in question, and I will let you know if you are missing anything that is required.a)f(x)=3x^(4)+16x^(3)-576x^(2)+192b)g(x)=(2x^(5))/(x+4)