(\partial)/(\partial y)(100e^{-x-2y})

解答

\frac{\partial}{\partial y} (100 e^{- x - 2 y})

- 200 e^{- x - 2 y}

求解步骤

\frac{\partial}{\partial y} (100 e^{- x - 2 y})

将

x

视为常数

将常数提出:

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

= 100 \frac{\partial}{\partial y} (e^{- x - 2 y})

使用连锁律:

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

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

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

= 100 e^{- x - 2 y} (- 2)

化简

= - 200 e^{- x - 2 y}

\int \frac{2 x ^{2} - 5 x - 2}{( x - 2 ) ^{2} ( x - 1 )} d x

t an g e n t f (x) = 5 x + 30, at x = - 1

x \to - 1 + lim (∣ x ∣ - 3)

\int_{- 1}^{1} (x^{100}) d x

\frac{d}{d x} (3 x^{2})