(\partial)/(\partial z)(e^{2z}x+2z)

解答

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

x e^{2 z} \cdot 2 + 2

求解步骤

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

将

x

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= x e^{2 z} \cdot 2 + 2

x \to + 0 - lim (e^{\frac{7}{x}})

d er i v a t i v e 3 x + \frac{1}{x ^{2}}

\frac{\partial}{\partial x} (- \frac{1}{( 10 + x \cdot y )})

d er i v a t i v e x (8^{- 2 x})

l a pl a ce t r an s f or m \frac{3}{2} sin (2 t)