Calculus
posted by Sarah on .
Marginal Cost Businesses can buy multiple licenses for data compression software at a total cost of approximately C(x) = 96x2/3 dollars for x licenses. Find the derivative of this cost function at the following values x=8 and x=64
I do not know where to start?

Start where the instructions say "find the derivative"!
just use the power rule
C'(x) = 96 * 2/3 x^(1/3) = 64/∛x
C'(8) = 64/∛8 = 64/2 = 32
C'(64) = 64/∛64 = 64/4 = 16