derivative of e^{3x+5}

解答

\frac{d}{d x} (e^{3 x + 5})

e^{3 x + 5} \cdot 3

求解步骤

\frac{d}{d x} (e^{3 x + 5})

使用连锁律:

e^{3 x + 5} \frac{d}{d x} (3 x + 5)

= e^{3 x + 5} \frac{d}{d x} (3 x + 5)

\frac{d}{d x} (3 x + 5) = 3

= e^{3 x + 5} \cdot 3

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