a) Differentiate the following function with respect to s. i) y = 3es + 3s. ii) y = cos(27ts) + 4 sin(s). b) Consider the function: s(x) = 12x3 + 46x2+ 22x - 24. (3) Using Equation 3, complete the following. ds i) Find dx ii) Find the values of x for which s(x) = 0. Hint: Factorise. iii) Using calculus find and classify the stationary points of s(x). iv) Plot the function. Illustrate on the plot the position of the stationary points, and where s (x) = 0