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)(ln(x+3y+4z))

Lösung

\frac{\partial}{\partial x} (ln (x + 3 y + 4 z))

Lösung

\frac{1}{x + 3 y + 4 z}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (x + 3 y + 4 z))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

\frac{1}{x + 3 y + 4 z} \frac{\partial}{\partial x} (x + 3 y + 4 z)

= \frac{1}{x + 3 y + 4 z} \frac{\partial}{\partial x} (x + 3 y + 4 z)

\frac{\partial}{\partial x} (x + 3 y + 4 z) = 1

= \frac{1}{x + 3 y + 4 z} \cdot 1

Vereinfache

= \frac{1}{x + 3 y + 4 z}

Beliebte Beispiele

integral of (x^2)/((3x+1)^3)

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

derivative of (5x^{1/2})

\frac{d}{d x} ((5 x)^{\frac{1}{2}})

derivative of xcos(pix+1)

\frac{d}{d x} (x cos (π x) + 1)

y^{'''}-3y^{''}+3y^'-y=0

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = 0

limit as x approaches 4+of 2/(x^2-16)

x \to 4 + lim (\frac{2}{x ^{2} - 16})