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(1/3 + 2) (b) g(x) = In(r) (c) f(x) = ebr cos(2x) (2) Use the product rule to differentiate y = ear(4x - r]). (3) Use the quotient rule to differentiate y = 20s(27) 5r-10 1 0 /2 (4) Use the chain rule to differentiate y = In(2 - x3), r > 0