The cost of producing x widgets is modelled by C(x)=10sqrt(x) + 20, where C is in dollars. a)What is the rate of change of the cost with respect to (wrt) the number of units, x, being produced when the production level is 400 widgets?

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The cost of producing x widgets is modelled by C(x)=10sqrt(x) + 20, where C is in dollars. a)What is the rate of change of the cost with respect to (wrt) the number of units, x, being produced when the production level is 400 widgets?

Mathematics
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Begin by taking the derivative of C(x).
and then plug in 400.
So it'd be something like 5/sqrtx --> 5/sqrt 400 = 1/4.

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Other answers:

First derivative always gives rate of change of the value of interest/concern/focus in the problem.

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