Cost of Producing 101st Item | Solve C(x) Function

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The cost function for production of a commodity is given below.
C(x) = 369 + 21x - 0.08x^2 + 0.0006x^3

Find the actual cost of producing the 101st item. (Round the answer to the nearest cent.)

i know that
c'(x) = 21-.16x+.0018x^2

but for the life of me cannot figure out how to find the answer
 
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How is "actual cost" defined?
 
How much does it cost to produce 101 items?

How much does it cost to produce 100 items?

So what was the cost of that 101st item?

The derivative is irrelelvant here. This is purely and arithmetic problem.
 
ive tried to just input the number and it keeps telling me that its the wrong answer I've done it every way i know how aghh
 
ooo nevermind, i just got it...i feel dumb lol
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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