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Beliebt Rechnen >

(\partial)/(\partial t)(ae^{kx+wt})

Lösung

\frac{\partial}{\partial t} (a e^{k x + wt})

Lösung

a e^{k x + wt} w

Schritte zur Lösung

\frac{\partial}{\partial t} (a e^{k x + wt})

Behandle

a, k, x, w

als Konstanten

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{\partial}{\partial t} (e^{k x + wt})

Wende die Kettenregel an:

e^{k x + wt} \frac{\partial}{\partial t} (k x + wt)

= e^{k x + wt} \frac{\partial}{\partial t} (k x + wt)

\frac{\partial}{\partial t} (k x + wt) = w

= a e^{k x + wt} w

Beliebte Beispiele

integral of f(x)g(x)

\int f (x) g (x) d x

limit as x approaches infinity of x-8

x \to \infty lim (x - 8)

integral of+cot^2(x)

\int + cot^{2} (x) d x

integral of 2x(x^2+5)^9

\int 2 x (x^{2} + 5)^{9} d x

limit as x approaches 3-of 4x^2-3x+2

x \to 3 - lim (4 x^{2} - 3 x + 2)