(\partial)/(\partial y)(e^{xy}-z)

解答

\frac{\partial}{\partial y} (e^{x y} - z)

e^{x y} x

求解步骤

\frac{\partial}{\partial y} (e^{x y} - z)

将

x, z

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial y} (e^{x y}) - \frac{\partial}{\partial y} (z)

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

\frac{\partial}{\partial y} (z) = 0

= e^{x y} x - 0

化简

= e^{x y} x

y^{^{''}} + 12 y^{^{'}} + 37 y = 0

x \to - 5 - lim (\frac{- 2}{x ^{2} - 25})

d er i v a t i v e \frac{18 x + 4 x ^{2}}{( 9 + 4 x ) ^{2}}

\int e^{- x} cos (a x) d x

\int 2 x e^{- y} d x