derivative \sqrt[6]{t}-6e^t

解答

导数

6 t - 6 e^{t}

\frac{1}{6 t ^{\frac{5}{6}}} - 6 e^{t}

求解步骤

\frac{d}{d t} (6 t - 6 e^{t})

使用微分加减法定则:

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

= \frac{d}{d t} (6 t) - \frac{d}{d t} (6 e^{t})

\frac{d}{d t} (6 t) = \frac{1}{6 t ^{\frac{5}{6}}}

\frac{d}{d t} (6 e^{t}) = 6 e^{t}

= \frac{1}{6 t ^{\frac{5}{6}}} - 6 e^{t}

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