(\partial)/(\partial x)(e^{3xyz-2})

解答

\frac{\partial}{\partial x} (e^{3 x yz - 2})

e^{3 x yz - 2} \cdot 3 yz

求解步骤

\frac{\partial}{\partial x} (e^{3 x yz - 2})

将

y, z

视为常数

使用连锁律:

e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

= e^{3 x yz - 2} \frac{\partial}{\partial x} (3 x yz - 2)

\frac{\partial}{\partial x} (3 x yz - 2) = 3 yz

= e^{3 x yz - 2} \cdot 3 yz

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

x \to \frac{π}{2} lim (\frac{sin ( x )}{x})

a re a x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2

n = 0 \sum \infty n sin (nπ)

\int \frac{x}{x ( x + 4 )} d x