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)(x+y+ln(xy))

Lösung

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

Lösung

\frac{1}{x} + 1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (y) + \frac{\partial}{\partial x} (ln (x y))

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (ln (x y)) = \frac{1}{x}

= 1 + 0 + \frac{1}{x}

Vereinfache

= \frac{1}{x} + 1

Beliebte Beispiele

integral of sqrt(1-\sqrt{v)}

\int 1 - v d v

integral of cot(1)

\int cot (1) d x

(\partial)/(\partial x)(log_{e}(x^2+y^4))

\frac{\partial}{\partial x} (lo g_{e} (x^{2} + y^{4}))

integral of sin(8pix)

\int sin (8 π x) d x

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

\int \frac{1}{2 x ^{\frac{1}{2}}} d x