derivative \sqrt[7]{t}-7e^t

解答

导数

7 t - 7 e^{t}

\frac{1}{7 t ^{\frac{6}{7}}} - 7 e^{t}

求解步骤

\frac{d}{d t} (7 t - 7 e^{t})

使用微分加减法定则:

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

= \frac{d}{d t} (7 t) - \frac{d}{d t} (7 e^{t})

\frac{d}{d t} (7 t) = \frac{1}{7 t ^{\frac{6}{7}}}

\frac{d}{d t} (7 e^{t}) = 7 e^{t}

= \frac{1}{7 t ^{\frac{6}{7}}} - 7 e^{t}

d er i v a t i v e f (x) = ∣ 4 + 7 x ∣

l o n g d i v i s i o n \frac{2 x - 1}{2 x + 1}

d er i v a t i v e f (x) = (x + 6)^{2}

\frac{d}{d x} (a x + ln (x))

\int (x^{2} + y^{2})^{\frac{1}{2}} d x