(\partial}{\partial x}(\frac{x^3y^3)/3)

解答

\frac{\partial}{\partial x} (\frac{x ^{3} y ^{3}}{3})

x^{2} y^{3}

求解步骤

\frac{\partial}{\partial x} (\frac{x ^{3} y ^{3}}{3})

将

y

视为常数

将常数提出:

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

= \frac{y ^{3}}{3} \frac{\partial}{\partial x} (x^{3})

使用幂法则:

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

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

化简

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

= x^{2} y^{3}

\frac{\partial}{\partial x} (\frac{g ( x )}{x} - \frac{h ( x )}{x})

\int sec^{7} (x) tan (x) d x

\int e^{t a n (v)} sec^{2} (v) d v

\int \frac{x e ^{x^{2}}}{e ^{x^{2}} + 2} d x

n = 1 \sum \infty n e^{9 n}