Suppose that mere setting up a wiveless data network for

a smale municipality. The local ISP wants to serve

as many residents as possible, but greater coverage

bringp greater costs. The cost $($in dollars$)$ to deploy

$x$ nodes in the network is given by

$C(x)=26000+160x+0\mathrm{.}01x^3$

find the marginal cost function: $C^{\text{'}}(x)=$

its suggested that $230$ nodes might be enough, but

management needs to know what it would cost to

deploy one more node in a key area. About how

much would it be$?$

$($Round to $4$ decimal places$)$