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Effect of luxury tax on consumption government economists

Qusetion: EFFECT OF LUXURY TAX ON CONSUMPTION Government economists of a developing country determined that the purchase of imported perfume is related to a proposed "luxury tax" by the formula

N(x) = √(10,000 - 40x - 0.02x²) (0 ≤ t ≤ 200)

where N(x) measures the percentage of normal consumption of perfume when a "luxury tax" of x% is imposed on it. Find the rate of change of N(x) for taxes of 10%, 100%, and 150%.

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