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

解答

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

9 e^{x^{3} y^{3}} x^{2} y^{3}

求解步骤

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

将

y

视为常数

将常数提出:

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

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

使用连锁律:

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

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

\frac{\partial}{\partial x} (x^{3} y^{3}) = 3 y^{3} x^{2}

= 3 e^{x^{3} y^{3}} \cdot 3 y^{3} x^{2}

化简

= 9 e^{x^{3} y^{3}} x^{2} y^{3}

t an g e n t 7 x + 4

\int 2 x (x^{2} + 2)^{4} d x

l a pl a ce t r an s f or m 7 sin (4 t + 8) + 3 cos (4 t - 2)

x \to 1 lim (1 - x - [x])

\frac{d}{d x} (\frac{2 x - 3}{x ^{2} - 1})