(\partial)/(\partial x)((2x+3y)^7)

解答

\frac{\partial}{\partial x} ((2 x + 3 y)^{7})

14 (2 x + 3 y)^{6}

求解步骤

\frac{\partial}{\partial x} ((2 x + 3 y)^{7})

将

y

视为常数

使用连锁律:

7 (2 x + 3 y)^{6} \frac{\partial}{\partial x} (2 x + 3 y)

= 7 (2 x + 3 y)^{6} \frac{\partial}{\partial x} (2 x + 3 y)

\frac{\partial}{\partial x} (2 x + 3 y) = 2

= 7 (2 x + 3 y)^{6} \cdot 2

化简

= 14 (2 x + 3 y)^{6}

\int \frac{x ^{- \frac{1}{3}}}{1 + x ^{\frac{1}{6}}} d x

\int \frac{3 x + 5}{x ^{2} + 2 x + 10} d x

\int x e n (x) d x

\int (x + \frac{1}{7 x}) d x

\frac{d}{d x} ((2 x^{6} + 5 x^{3})^{\frac{3}{5}})