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Beliebt Rechnen >

(\partial ^2)/(\partial t^2)(ln(3x+3ct))

Lösung

\frac{\partial ^{2}}{\partial t ^{2}} (ln (3 x + 3 c t))

Lösung

- \frac{c ^{2}}{( x + c t ) ^{2}}

Schritte zur Lösung

\frac{\partial ^{2}}{\partial t ^{2}} (ln (3 x + 3 c t))

\frac{\partial}{\partial t} (ln (3 x + 3 c t)) = \frac{c}{x + c t}

= \frac{\partial}{\partial t} (\frac{c}{x + c t})

\frac{\partial}{\partial t} (\frac{c}{x + c t}) = - \frac{c ^{2}}{( x + c t ) ^{2}}

= - \frac{c ^{2}}{( x + c t ) ^{2}}

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