d/(dt)(acos(wt))

解答

\frac{d}{d t} (a cos (wt))

- a w sin (wt)

求解步骤

\frac{d}{d t} (a cos (wt))

将

a, w

视为常数

将常数提出:

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

= a \frac{d}{d t} (cos (wt))

使用连锁律:

- sin (wt) \frac{d}{d t} (wt)

= - sin (wt) \frac{d}{d t} (wt)

\frac{d}{d t} (wt) = w

= a (- sin (wt) w)

化简

= - a w sin (wt)

d er i v a t i v e y = 2 x^{2} + 8 x + 10

\frac{d}{d x} ((4 x^{2} + 5) (5 x - 3))

x \to 90 lim (cos (x))

\int_{0}^{9} \frac{3}{3 x - 1} d x

d er i v a t i v e f (4) = 4 x^{\frac{5}{4}} + 8 x^{\frac{3}{2}} + 8 x