1)f(x)=(x^(3)-4)/(x^(2)+7) Find the derivative of the function.
2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function.
3)A manufacturer of tennis rackets finds that the total cost (in dollars) of manufacturing x rackets/day is given by c(x)=200+7x+0.0001x^2 . Each racket can be sold at a price of dollars, where is related to by the demand equation p=11-0.0004x .
If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.
