derivative of e^{5-2x}

解答

\frac{d}{d x} (e^{5 - 2 x})

- 2 e^{5 - 2 x}

求解步骤

\frac{d}{d x} (e^{5 - 2 x})

使用连锁律:

e^{5 - 2 x} \frac{d}{d x} (5 - 2 x)

= e^{5 - 2 x} \frac{d}{d x} (5 - 2 x)

\frac{d}{d x} (5 - 2 x) = - 2

= e^{5 - 2 x} (- 2)

化简

= - 2 e^{5 - 2 x}

x \to - \infty lim (- 8 x)

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