de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(sin(3x)cos(6y))

Lösung

\frac{\partial}{\partial x} (sin (3 x) cos (6 y))

Lösung

cos (6 y) cos (3 x) \cdot 3

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (3 x) cos (6 y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= cos (6 y) \frac{\partial}{\partial x} (sin (3 x))

Wende die Kettenregel an:

cos (3 x) \frac{\partial}{\partial x} (3 x)

= cos (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= cos (6 y) cos (3 x) \cdot 3

Beliebte Beispiele

derivative of sqrt(x^2+8x)

\frac{d}{d x} (x^{2} + 8 x)

integral of 2xsec^2(x)

\int 2 x sec^{2} (x) d x

derivative of sqrt(x)ln(10x)

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

integral of ((2x-1)e^{x^2})/(e^x)

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

laplacetransform f(t)=1*t^3

l a pl a ce t r an s f or m f (t) = 1 \cdot t^{3}