解决 p = 2t/r - ScanMath

求值

p = 2 \times \frac{t}{r}

乘以项

p = \frac{2 t}{r}

通过将变量 r 视为常数并相对于 t 微分来求一阶偏导数

\frac{\partial p}{\partial t} = \frac{\partial}{\partial t} (\frac{2 t}{r})

使用微分规则 \frac{\partial}{\partial x} (\frac{f ( x )}{g ( x )}) = \frac{\frac{\partial}{\partial x} ( f ( x )) \times g ( x ) - f ( x ) \times \frac{\partial}{\partial x} ( g ( x ) )}{( g ( x ) ) ^{2}}

\frac{\partial p}{\partial t} = \frac{\frac{\partial}{\partial t} ( 2 t ) r - 2 t \times \frac{\partial}{\partial t} ( r )}{r ^{2}}

求值

Langkah Lebih Banyak

\frac{\partial p}{\partial t} = \frac{2 r - 2 t \times \frac{\partial}{\partial t} ( r )}{r ^{2}}

使用 \frac{\partial}{\partial x} (c) = 0 求导数

\frac{\partial p}{\partial t} = \frac{2 r - 2 t \times 0}{r ^{2}}

任何表达式乘以 0 等于 0

\frac{\partial p}{\partial t} = \frac{2 r - 0}{r ^{2}}

删除 0 不会更改值，因此将其从表达式中删除

\frac{\partial p}{\partial t} = \frac{2 r}{r ^{2}}

Larutan

Langkah Lebih Banyak

\frac{\partial p}{\partial t} = \frac{2}{r}

P = 2t/r