(\partial)/(\partial x)(3e^{xy})

解答

\frac{\partial}{\partial x} (3 e^{x y})

3 e^{x y} y

求解步骤

\frac{\partial}{\partial x} (3 e^{x y})

将

y

视为常数

将常数提出:

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

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

使用连锁律:

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

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

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

= 3 e^{x y} y

t a y l or - ln (1 - x)

\frac{d}{d x} (ln (x^{2} + 5 x))

\int_{0}^{1} \frac{1}{3 - 2 x} d x

t an g e n t f (x) = x^{2}, at x = 4

\frac{d}{d x} (2 + 3 e^{- \frac{3}{x}})