derivative \sqrt[4]{t}-4e^t

解答

导数

4 t - 4 e^{t}

\frac{1}{4 t ^{\frac{3}{4}}} - 4 e^{t}

求解步骤

\frac{d}{d t} (4 t - 4 e^{t})

使用微分加减法定则:

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

= \frac{d}{d t} (4 t) - \frac{d}{d t} (4 e^{t})

\frac{d}{d t} (4 t) = \frac{1}{4 t ^{\frac{3}{4}}}

\frac{d}{d t} (4 e^{t}) = 4 e^{t}

= \frac{1}{4 t ^{\frac{3}{4}}} - 4 e^{t}

d er i v a t i v e f (x) = cos (6 x) \cdot 6

\int x sin (x + y) d x

\frac{d}{d x} (e^{x s e c (x)})

\frac{d}{d x} (2 cos (x^{2}) - 4 x^{2} sin (x^{2}))

in v erse l a pl a ce \frac{3}{s ( s ^{2} + 6 s )}