(\partial)/(\partial x)(2x^{7y})

解答

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

14 y x^{7 y - 1}

求解步骤

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

将

y

视为常数

将常数提出:

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

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

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 \cdot 7 y x^{7 y - 1}

化简

= 14 y x^{7 y - 1}

\frac{\partial}{\partial x} (2 y + x + 1)

f (X) = X

\int \frac{x e ^{2 x}}{( 2 x + 1 ) ^{2}} d x

x \frac{d y}{d x} + 2 y = x^{- 4}

f (t) = 2 t + 1