please help me with these questions, thank u so much

Application 1. Given the function y = x_1 a. Determine f '(x) in simplied factored form. 2x2 x+1 [4 marks] to. Determine the points where the tangent line is horizonlal. [2 marks] o. Determine the equation of the tangent to the point determined in question (b) [1 mark] c. Determine at what 3: value is the slope of the langent undefined [1 mark] 2. The height of a roller coaster is modelled by the height h(t) = =+3 -=t2 + 2t + 4, where h(t) is measured in metres and t in seconds. a. What is the height of the roller coaster above the ground at t = 0? [1 mark] b. Determine h'(t). [1 mark] c. When is h'(t) = 2 In other words, when is the velocity of the roller coaster = 2 m/s [2 marks]