de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial u)(1/3 (u+v))

Lösung

\frac{\partial}{\partial u} (\frac{1}{3} (u + v))

Lösung

\frac{1}{3}

+1

Dezimale

0.33333 \dots

Schritte zur Lösung

\frac{\partial}{\partial u} (\frac{1}{3} (u + v))

Behandle

v

als Konstante

Entferne die Konstante:

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

= \frac{1}{3} \frac{\partial}{\partial u} (u + v)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{3} (\frac{\partial}{\partial u} (u) + \frac{\partial}{\partial u} (v))

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

\frac{\partial}{\partial u} (v) = 0

= \frac{1}{3} (1 + 0)

Vereinfache

= \frac{1}{3}

Beliebte Beispiele

integral of-sin(3t)

\int - sin (3 t) d t

derivative of ln(2x^2)

\frac{d}{d x} (ln (2 x^{2}))

integral of 9(x+7)^2ln(x+7)

\int 9 (x + 7)^{2} ln (x + 7) d x

integral of (7x+6)/(x^9)

\int \frac{7 x + 6}{x ^{9}} d x

integral of (x^3-x)/((x^4-2x^2+3)^2)

\int \frac{x ^{3} - x}{( x ^{4} - 2 x ^{2} + 3 ) ^{2}} d x