(\partial)/(\partial x)(30y^4sin(2x))

解答

\frac{\partial}{\partial x} (30 y^{4} sin (2 x))

60 y^{4} cos (2 x)

求解步骤

\frac{\partial}{\partial x} (30 y^{4} sin (2 x))

将

y

视为常数

将常数提出:

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

= 30 y^{4} \frac{\partial}{\partial x} (sin (2 x))

使用连锁律:

cos (2 x) \frac{\partial}{\partial x} (2 x)

= cos (2 x) \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= 30 y^{4} cos (2 x) \cdot 2

化简

= 60 y^{4} cos (2 x)

d er i v a t i v e (x - 4) ln (4 - x)

\frac{d}{d x} (x sin (4 x))

t an g e n t f (x) = cos (\frac{π x}{2}), at x = 0.4

\int 30 e^{- x} d x

\frac{\partial}{\partial x} (9 x y)