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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2 c}{x + 2 c t}

Schritte zur Lösung

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

Behandle

c, x

als Konstante

Wende die Kettenregel an:

\frac{1}{x + 2 c t} \frac{\partial}{\partial t} (x + 2 c t)

= \frac{1}{x + 2 c t} \frac{\partial}{\partial t} (x + 2 c t)

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

= \frac{1}{x + 2 c t} \cdot 2 c

Vereinfache

\frac{1}{x + 2 c t} \cdot 2 c : \frac{2 c}{x + 2 c t}

= \frac{2 c}{x + 2 c t}

Beliebte Beispiele

integral from-1 to 2 of |2x-3|

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

y^{^{''}} + 36 y = 0

integral of (cos(x)sin^2(x))

\int (cos (x) sin^{2} (x)) d x

derivative of (2x^2-1/(x^2-3))

\frac{d}{d x} (\frac{2 x ^{2} - 1}{x ^{2} - 3})

integral of 20x^3+12x^2+4

\int 20 x^{3} + 12 x^{2} + 4 d x