d/(dt)(-2e^{-2t})

解答

\frac{d}{d t} (- 2 e^{- 2 t})

4 e^{- 2 t}

求解步骤

\frac{d}{d t} (- 2 e^{- 2 t})

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= - 2 \frac{d}{d t} (e^{- 2 t})

使用连锁律:

e^{- 2 t} \frac{d}{d t} (- 2 t)

= e^{- 2 t} \frac{d}{d t} (- 2 t)

\frac{d}{d t} (- 2 t) = - 2

= - 2 e^{- 2 t} (- 2)

化简

= 4 e^{- 2 t}

t an g e n t x^{2} - 2, at x = 3

\int \frac{2 cos ( x )}{3 sin ^{2} ( x )} d x

\int_{1}^{2} (4 x^{3} - 3 x^{2} + 2 x) d x

\int cos (3 x - 1) d x

\int (3 t e^{t}, ln (t)) d t