Differentiate. 8 g(x)=x (8.7)* g'(x) = Differentiate 6+ y = 5 + 5+3 - (5 +9) = Differentiate. y= log 10x d -log 10x= dx Differentiate. y = log 6 (x + x) -log 6 (x + x) = dx An office machine is purchased for $7800. Under certain assumptions, its salvage value, V, in dollars, is depreciated according to a method called double declining balance, by basically 72% each year, and is given by V(t) = 7800(0.72)*, where t is the time, in years after purchase. a) Find V'(t). b) Interpret the meaning of V'(t). a) V'(t) = The number of liver transplants performed in a particular country in year x is approximated by f(x) = - 243.7 + 2225 In x where x5 and x = 5 corresponds to the year 1995. a) Estimate the number of transplants in 2025. b) Find f'(35). a) According to this model, there should be approximately liver transplants in 2025. (Round to the nearest integer as needed.)