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The total cost C(x) in Rupees, associa...

The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000` . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change

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`C(x)=0.005x^3-0.02x^2+30x+5000`
`(d(cx))/dx=(d(0.005x^3))/dx-(d(0.02))/dx+(d(30))/dx+0`
`=0.005(3x^2)-0.02(2x)+30xx1`
`=0.005(3xx9)-0.02(2xx3)+30`
`=0.135-0.012+30`
`=30.015`
`(dc)/(dx)=30.015`
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