(\partial)/(\partial x)(6x^2+11y)

解答

\frac{\partial}{\partial x} (6 x^{2} + 11 y)

12 x

求解步骤

\frac{\partial}{\partial x} (6 x^{2} + 11 y)

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (6 x^{2}) + \frac{\partial}{\partial x} (11 y)

\frac{\partial}{\partial x} (6 x^{2}) = 12 x

\frac{\partial}{\partial x} (11 y) = 0

= 12 x + 0

化简

= 12 x

\int \frac{1}{81 e ^{- 5 x} + e ^{5 x}} d x

\int_{0}^{5} y + 4 d y

d er i v a t i v e 2 c

\frac{d y}{d x} = \frac{5 x \cdot sec ( \frac{y}{x} ) + y}{x}

\frac{d y}{d x} + 12 y = 14