derivative of 7+3e^{5x}

解答

\frac{d}{d x} (7 + 3 e^{5 x})

15 e^{5 x}

求解步骤

\frac{d}{d x} (7 + 3 e^{5 x})

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (7) + \frac{d}{d x} (3 e^{5 x})

\frac{d}{d x} (7) = 0

\frac{d}{d x} (3 e^{5 x}) = 15 e^{5 x}

= 0 + 15 e^{5 x}

化简

= 15 e^{5 x}

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