(\partial)/(\partial y)(xe^{2y}sin(7z))

解答

\frac{\partial}{\partial y} (x e^{2 y} sin (7 z))

x sin (7 z) e^{2 y} \cdot 2

求解步骤

\frac{\partial}{\partial y} (x e^{2 y} sin (7 z))

将

x, z

视为常数

将常数提出:

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

= x sin (7 z) \frac{\partial}{\partial y} (e^{2 y})

使用连锁律:

e^{2 y} \frac{\partial}{\partial y} (2 y)

= e^{2 y} \frac{\partial}{\partial y} (2 y)

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

= x sin (7 z) e^{2 y} \cdot 2

\int_{- 8}^{64} \frac{1}{3 x} d x

d er i v a t i v e 24 x - 0.01 x^{2}

y^{^{''}} + 121 y = sec (11 x)

x \to 0 - lim (\frac{1 - e ^{- 3 x}}{x})

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2} + 8})