• #1Differentiate.g(x)=[5x-1/2x+5]+x³

g ' (x) = __________

#2Differentiate. g(x) = [3x-2 / 6x+1] + x³

g ' (x) = __________

#3 Differentiate the function. f(x) = x / x^-1+ 11

f ' (x) = __________

#4Thecost, indollars, of producing x belts is given by C(x) = 544 + 12x - 0.074x². Find the rate at which average cost is changing when196 belts have been produced.

When 196 belthave beenproduced, the average cost is changing at nothing____ (belts per dollar OR dollars per belt)for each additional belt. (Round to four decimal places as needed. Do not include the$ symbol in youranswer.)