展开-e^x(x-1)

解答

展开

- e^{x} (x - 1)

- e^{x} x + e^{x}

求解步骤

- e^{x} (x - 1)

使用分配律:

a (b - c) = ab - a c

a = - e^{x}, b = x, c = 1

= - e^{x} x - (- e^{x}) \cdot 1

使用加减运算法则

- (- a) = a

= - e^{x} x + 1 \cdot e^{x}

乘以:

1 \cdot e^{x} = e^{x}

= - e^{x} x + e^{x}

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