Problem 1 - Section 3.4 Find the derivative of each function. Show all steps as if you were doing the work by hand, especially for the power rule. Assume that Mm), M111) is a differentiable function. a) f0\") : 8334+5w27w4 b) g(w) = 5 4104 6h('w) I]. CC 333 c)p(w>=1 (\"if ) d) q($) = 3:3 ln(1 + 6:\") Problem 2 - Section 3.6 Suppose that for a company manufacturing a: calculators, the cost, revenue, and prot equations are given by 1'2 C=70,000+2093, R=300m%, P=RC where the production output in 1 week is :1: calculators. Production is increasing at a rate of 400 calculators per week when production output is 6,000 calculators. a) Find the rate of increase (decrease) in cost, revenue, and prot. b) Interpret each value you found in part (a) in sentence. Use the appropriate units