(\partial)/(\partial u)(3vcos(u))

解答

\frac{\partial}{\partial u} (3 v cos (u))

- 3 v sin (u)

求解步骤

\frac{\partial}{\partial u} (3 v cos (u))

将

v

视为常数

将常数提出:

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

= 3 v \frac{\partial}{\partial u} (cos (u))

使用常见微分定则:

\frac{\partial}{\partial u} (cos (u)) = - sin (u)

= 3 v (- sin (u))

化简

= - 3 v sin (u)

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

x \to 4 lim (\frac{( 2 )}{x - 4})

x \to 2 - lim (\frac{2 x}{x ^{2} - 4})

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 10

x \to - 2 + lim (\frac{- 7 x}{x + 2})