(\partial)/(\partial x)(x^2+ye^x)

解答

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

2 x + y e^{x}

求解步骤

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

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

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

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

= 2 x + y e^{x}

\int \frac{11 - 2 x}{x ^{2} + 9 x + 14} d x

x \to 3 lim ((x^{2} - 9)^{x - 3})

x \to \infty lim (\frac{x}{9})

\frac{d y}{d x} = \frac{1}{2 y + 1}

\int \frac{1}{136} x^{3} d x