derivative of sqrt(x)-10\sqrt[3]{x}

解答

\frac{d}{d x} (x - 10 3 x)

\frac{1}{2 x} - \frac{10}{3 x ^{\frac{2}{3}}}

求解步骤

\frac{d}{d x} (x - 10 3 x)

使用微分加减法定则:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (10 3 x)

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (10 3 x) = \frac{10}{3 x ^{\frac{2}{3}}}

= \frac{1}{2 x} - \frac{10}{3 x ^{\frac{2}{3}}}

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

\int 2 e^{x} + 8 x^{3} + 6 x d x

\frac{d y}{d x} + 3 y = 8

\int_{2}^{3} \frac{9}{3 - x} d x

\frac{d}{d x} (x^{4} - 4 x^{3} + 10)