a Find the derivative of the following function y fx ax2bc

(a) Find the derivative of the following function.
y = f(x) = (ax^2+b)/(cx+d)

(b) Find the marginal and average functions for the total-cost function:
C = 3Q^2 + 7Q + 12

Solution

y = f(x) = (ax^2+b)/(cx+d) y\'(x)=[(cx+d)*(2ax)-(ax^2+b)*c]/(cx+d)^2 (b.) average cost function=c/q=3*q+7+(12/q) marginal average cost is derivative of average cost w.r.t.output marginal function=(c/q)\'=3-(12/q^2)