(\partial)/(\partial x)(2ln(x)+ln(y))

解答

\frac{\partial}{\partial x} (2 ln (x) + ln (y))

\frac{2}{x}

求解步骤

\frac{\partial}{\partial x} (2 ln (x) + ln (y))

化简

2 ln (x) + ln (y) : ln (x^{2} y)

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

将

y

视为常数

使用连锁律:

\frac{1}{x ^{2} y} \frac{\partial}{\partial x} (x^{2} y)

= \frac{1}{x ^{2} y} \frac{\partial}{\partial x} (x^{2} y)

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

= \frac{1}{x ^{2} y} \cdot 2 y x

化简

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

= \frac{2}{x}

t an g e n t f (x) = x - 3, (12, 3)

\int_{1}^{4} 1

x \to 21 lim (x)

\int_{- 1}^{2} \frac{x ^{2}}{8} d x

l a pl a ce t r an s f or m \frac{e t ^{4}}{24}