1. Determine the derivative of each function. (DO NOT SIMPLIFY) a) f(x) = x35x b) g(x) = c) y = 2-x2 d) f (x) = sinx cos2x 2. Determine the derivative of the function f(x) = 2e* cos3 x. Leave answers in simplified factored form.5. Determine the equation ofthe tangent to y = xex + ex + 1 atx = 1. 7. The vertical displacement of a SUV's body after running over a bump is modeled by the function Mt) = e'o'Etsint , where h is the vertical displacement in metres, and t is time in seconds. Round of your answers to one decimal place. Determine the maximum displacement of the SUV's body during the rst 5 seconds. Check interval endpoints