展开 4000(x-8)e^{-x/4-1}

解答

展开

4000 (x - 8) e^{- \frac{x}{4} - 1}

4000 e^{- \frac{x}{4} - 1} x - 32000 e^{- \frac{x}{4} - 1}

求解步骤

4000 (x - 8) e^{- \frac{x}{4} - 1}

= 4000 e^{- \frac{x}{4} - 1} (x - 8)

使用分配律:

a (b - c) = ab - a c

a = 4000 e^{- \frac{x}{4} - 1}, b = x, c = 8

= 4000 e^{- \frac{x}{4} - 1} x - 4000 e^{- \frac{x}{4} - 1} \cdot 8

= 4000 e^{- \frac{x}{4} - 1} x - 4000 \cdot 8 e^{- \frac{x}{4} - 1}

数字相乘:

4000 \cdot 8 = 32000

= 4000 e^{- \frac{x}{4} - 1} x - 32000 e^{- \frac{x}{4} - 1}

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