TASK 2: DERIVATIVE 1) For each of the following functions, identify which rule (the product rule, quo- tient rule or chain rule) you would use to differentiate the function. Give a 1-2 sentence explanation justifying your answer. (a) y = sin(z]/3 + 2) (b) g(x) = In(z) (c) f(x) = ed cos(2x) (2) Use the product rule to differentiate y = ear(4x - x3). (3) Use the quotient rule to differentiate y = $2-10 , 2 7 2 (4) Use the chain rule to differentiate y = In(2:4 -x?), r > 0 (5) The displacement (in metres) of a particle at time t seconds is given by s = 10000042 - 10t' for 0