If `C=0.003x^3+0.02x^2+6x+250` gives the amount of carbon pollution in air in an area on the entry of x number of vehicles, then find the marginal carbon pollution in the air, when 3 vehicles have entered in the area.

Explanation

To find the marginal carbon pollution in the air when 3 vehicles have entered the area, we need to follow these steps:

### Step 1: Write the function for carbon pollution
The given function for carbon pollution is:
\[ C(x) = 0.003x^3 + 0.02x^2 + 6x + 250 \]

### Step 2: Differentiate the function
To find the marginal carbon pollution, we need to differentiate the function \( C(x) \) with respect to \( x \):
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