(\partial)/(\partial x)(xycos(5yz))

解答

\frac{\partial}{\partial x} (x y cos (5 yz))

y cos (5 yz)

求解步骤

\frac{\partial}{\partial x} (x y cos (5 yz))

将

y, z

视为常数

将常数提出:

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

= y cos (5 yz) \frac{\partial}{\partial x} (x)

使用常见微分定则:

\frac{\partial}{\partial x} (x) = 1

= y cos (5 yz) \cdot 1

化简

= y cos (5 yz)

\int (x e^{x^{2}}) d x

\frac{d}{d x} (ln (x^{2} + 12))

t a y l or x cos (\frac{π x}{2})

t a y l or e^{- \frac{x ^{2}}{2}}

\frac{\partial}{\partial x} (e^{3 x} cos (2 y))