de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial y)(5xsin(y-z))

Lösung

\frac{\partial}{\partial y} (5 x sin (y - z))

Lösung

5 x cos (y - z)

Schritte zur Lösung

\frac{\partial}{\partial y} (5 x sin (y - z))

Behandle

x, z

als Konstanten

Entferne die Konstante:

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

= 5 x \frac{\partial}{\partial y} (sin (y - z))

Wende die Kettenregel an:

cos (y - z) \frac{\partial}{\partial y} (y - z)

= cos (y - z) \frac{\partial}{\partial y} (y - z)

\frac{\partial}{\partial y} (y - z) = 1

= 5 x cos (y - z) \cdot 1

Vereinfache

= 5 x cos (y - z)

Beliebte Beispiele

y^{^{'}} - e^{5 x + y} = 0

derivative of (3x+2/(5x-1))

\frac{d}{d x} (\frac{3 x + 2}{5 x - 1})

derivative of 6+3x-4x(7x+1^2)

\frac{d}{d x} (6 + 3 x - 4 x (7 x + 1)^{2})

integral of 13ln(\sqrt[3]{x})

\int 13 ln (3 x) d x

(\partial)/(\partial x)(2xyln(x))

\frac{\partial}{\partial x} (2 x y ln (x))