(\partial)/(\partial y)(ln(x^3y))

解答

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

\frac{1}{y}

求解步骤

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

将

x

视为常数

使用连锁律:

\frac{1}{x ^{3} y} \frac{\partial}{\partial y} (x^{3} y)

= \frac{1}{x ^{3} y} \frac{\partial}{\partial y} (x^{3} y)

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

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

化简

\frac{1}{x ^{3} y} x^{3} : \frac{1}{y}

= \frac{1}{y}

\frac{\partial}{\partial h} (\frac{4}{3} π r^{2} h)

\int \frac{3}{1 + 4 x ^{2}} d x

\int 3 x^{2} (2 x^{2} - 5) d x

\frac{d}{d x} (\frac{x}{x ^{2}})

y^{^{''}} - 2 y^{^{'}} + y = e^{x} ln (x)