When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundred units, where 3p2-x² = 12. How fast is the supply changing when the price is unit and is increasing at the rate of 87 cents per month?

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A: solution is written in below steps.

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Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1