de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial t)(sin(x)cos(ct))

Lösung

\frac{\partial}{\partial t} (sin (x) cos (c t))

Lösung

- c sin (c t) sin (x)

Schritte zur Lösung

\frac{\partial}{\partial t} (sin (x) cos (c t))

Behandle

c, x

als Konstante

Entferne die Konstante:

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

= sin (x) \frac{\partial}{\partial t} (cos (c t))

Wende die Kettenregel an:

- sin (c t) \frac{\partial}{\partial t} (c t)

= - sin (c t) \frac{\partial}{\partial t} (c t)

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

= sin (x) (- sin (c t) c)

Vereinfache

= - c sin (c t) sin (x)

Beliebte Beispiele

integral of 18sin^2(x)cos^3(x)

\int 18 sin^{2} (x) cos^{3} (x) d x

derivative of arcsin(10x)

\frac{d}{d x} (arcsin (10 x))

integral from 2 to 3 of x+x^2

\int_{2}^{3} x + x^{2} d x

derivative of-(3x/(8-5x))

\frac{d}{d x} (- \frac{3 x}{8 - 5 x})

limit as n approaches infinity of (\sqrt[n]{n})/(ln(n))

n \to \infty lim (\frac{n n}{ln ( n )})