derivative of (x^3/6)

解答

\frac{d}{d x} (\frac{x ^{3}}{6})

\frac{x ^{2}}{2}

求解步骤

\frac{d}{d x} (\frac{x ^{3}}{6})

将常数提出:

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

= \frac{1}{6} \frac{d}{d x} (x^{3})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{6} \cdot 3 x^{3 - 1}

化简

\frac{1}{6} \cdot 3 x^{3 - 1} : \frac{x ^{2}}{2}

= \frac{x ^{2}}{2}

y^{^{''}} + 9 y = 18

n = 1 \sum \infty \frac{15 n !}{n ^{n}}

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

x \to - 1 lim (- 6)

d er i v a t i v e 9 x - (sin^{2} (2 x))