(\partial)/(\partial z)(2xz^2)

解答

\frac{\partial}{\partial z} (2 x z^{2})

4 x z

求解步骤

\frac{\partial}{\partial z} (2 x z^{2})

将

x

视为常数

将常数提出:

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

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

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 x \cdot 2 z^{2 - 1}

化简

= 4 x z

t an g e n t y = 2 x - 2 x^{2}, at x = - 1.5

\int \frac{3}{3 x + 2} d x

\frac{d}{d x} (7 - (1.01)^{- x^{2}})

\frac{\partial}{\partial x} (3 x^{2} - 6 x - 9)

\int \frac{1}{4 x + 1} d x