derivative \sqrt[3]{t}-3e^t

解答

导数

3 t - 3 e^{t}

\frac{1}{3 t ^{\frac{2}{3}}} - 3 e^{t}

求解步骤

\frac{d}{d t} (3 t - 3 e^{t})

使用微分加减法定则:

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

= \frac{d}{d t} (3 t) - \frac{d}{d t} (3 e^{t})

\frac{d}{d t} (3 t) = \frac{1}{3 t ^{\frac{2}{3}}}

\frac{d}{d t} (3 e^{t}) = 3 e^{t}

= \frac{1}{3 t ^{\frac{2}{3}}} - 3 e^{t}

\int tan^{2} (x) sec^{2} (x) d x

t an g e n t f (x) = 3 + cot (x) - 2 csc (x)

d er i v a t i v e \frac{t - t}{t ^{\frac{1}{5}}}

d er i v a t i v e y = x^{2 x + 1}

\int - \frac{5}{x} d x