Resolver p = 2t/r

Calcule

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

Multiplique os termos

p = \frac{2 t}{r}

Encontre a primeira derivada parcial tratando a vari \overset{a}{ˊ} vel r como uma constante e diferenciando em rela \overset{c}{¸} \overset{a}{˜} o a t

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

Use a regra de diferencia \overset{c}{¸} \overset{a}{˜} o \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}}

Calcule

More Steps

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

Use \frac{\partial}{\partial x} (c) = 0 para encontrar derivada

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

Qualquer expressão multiplicada por 0 é igual a 0

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

Remover 0 não altera o valor, portanto, remova-o da expressão

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

Solution

More Steps

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

P = 2t/r