展开 e^{7x-9}d(7x-9)

解答

展开

e^{7 x - 9} d (7 x - 9)

7 d e^{7 x - 9} x - 9 d e^{7 x - 9}

求解步骤

e^{7 x - 9} d (7 x - 9)

= d e^{7 x - 9} (7 x - 9)

使用分配律:

a (b - c) = ab - a c

a = e^{7 x - 9} d, b = 7 x, c = 9

= e^{7 x - 9} d \cdot 7 x - e^{7 x - 9} d \cdot 9

= 7 d e^{7 x - 9} x - 9 d e^{7 x - 9}

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