(\partial)/(\partial x)((x+2)^2(y+3))

解答

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

2 (y + 3) (x + 2)

求解步骤

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

将

y

视为常数

将常数提出:

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

= (y + 3) \frac{\partial}{\partial x} ((x + 2)^{2})

使用连锁律:

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

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

\frac{\partial}{\partial x} (x + 2) = 1

= (y + 3) \cdot 2 (x + 2) \cdot 1

化简

= 2 (y + 3) (x + 2)

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