(\partial)/(\partial y)(5xsin(y-z))

解答

\frac{\partial}{\partial y} (5 x sin (y - z))

5 x cos (y - z)

求解步骤

\frac{\partial}{\partial y} (5 x sin (y - z))

将

x, z

视为常数

将常数提出:

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

= 5 x \frac{\partial}{\partial y} (sin (y - z))

使用连锁律:

cos (y - z) \frac{\partial}{\partial y} (y - z)

= cos (y - z) \frac{\partial}{\partial y} (y - z)

\frac{\partial}{\partial y} (y - z) = 1

= 5 x cos (y - z) \cdot 1

化简

= 5 x cos (y - z)

y^{^{'}} - e^{5 x + y} = 0

\frac{d}{d x} (\frac{3 x + 2}{5 x - 1})

\frac{d}{d x} (6 + 3 x - 4 x (7 x + 1)^{2})

\int 13 ln (3 x) d x

\frac{\partial}{\partial x} (2 x y ln (x))