derivative e^{,\at}sin(bt)

解答

导数

e^{, at} sin (b t)

e^{,} cos (b t) t

求解步骤

\frac{d}{d b} (e^{,} sin (b t))

将

t

视为常数

将常数提出:

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

= e^{,} \frac{d}{d b} (sin (b t))

使用连锁律:

cos (b t) \frac{d}{d b} (b t)

= cos (b t) \frac{d}{d b} (b t)

\frac{d}{d b} (b t) = t

= e^{,} cos (b t) t

\int csc (x) (csc (x) - cot (x)) d x

t an g e n t y = x^{3} - 2 x^{2} + 5, (2, 5)

x^{2} y^{^{'}} + 2 x y = ln (x), y (1) = 8

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

\int \frac{x + 3}{x ^{2} + 4} d x