derivative ((8x)^9)/9

解答

导数

\frac{( 8 x ) ^{9}}{9}

134217728 x^{8}

求解步骤

\frac{d}{d x} (\frac{( 8 x ) ^{9}}{9})

将常数提出:

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

= \frac{1}{9} \frac{d}{d x} ((8 x)^{9})

使用连锁律:

9 (8 x)^{8} \frac{d}{d x} (8 x)

= 9 (8 x)^{8} \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= \frac{1}{9} \cdot 9 (8 x)^{8} \cdot 8

化简

\frac{1}{9} \cdot 9 (8 x)^{8} \cdot 8 : 134217728 x^{8}

= 134217728 x^{8}

\int - 3 y d y

(- 3)^{^{'}}

\frac{d}{d x} ((4 - 2 x) (- x^{3} - 2 x^{2} + 1))

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

\frac{d}{d x} (\frac{1}{2} x + \frac{2}{3} x^{2})