i) Sketch the functions and determine any points where a derivative does not exist. (a) y = (c) The ramp function (b) y = | sin(t)|, f(t) = { (d) The unit step function u(t) = { 2t, 0, 1, t20 t < 0. 20 0, t < 0. ii) Use the product rule to differentiate the following functions. (a) y(t) = ln(t) tan(t), (b) y(t) = et sin(t) cos(t). iii) Use the quotient rule to find the derivatives of the following: (a) f(x) = cos(a), (b) g(t) = e2t +1 sin(a)' iv) Use the chain rule to differentiate the following. (a) f(t) = sin (3t+2), (b) g(x) = 3//cos(2x - 1).