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A cost model gives the marginal cost 3q² + 1/q for q >… | StemPy Lab
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A cost model gives the marginal cost 3q² + 1/q for q > 0 units made. The total cost, apart from its constant, is the antiderivative of the marginal cost. Which expression is it?
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Functions and Calculus › Integrals
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A cost model gives the marginal cost
3
q
2
+
1
q
3q^2 + \dfrac{1}{q}
3
q
2
+
q
1
for
q
>
0
q > 0
q
>
0
units made. The total cost, apart from its constant, is the antiderivative of the marginal cost. Which expression is it?
q
3
+
q
ln
q
q^3 + q\ln q
q
3
+
q
ln
q
q
3
−
1
q
2
q^3 - \dfrac{1}{q^2}
q
3
−
q
2
1
6
q
+
ln
q
6q + \ln q
6
q
+
ln
q
q
3
+
ln
q
q^3 + \ln q
q
3
+
ln
q
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