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}(\frac{x^3)/3+4y)

Lösung

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

Lösung

x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (\frac{x ^{3}}{3}) = x^{2}

\frac{\partial}{\partial x} (4 y) = 0

= x^{2} + 0

Vereinfache

= x^{2}

Beliebte Beispiele

derivative sqrt(1-y^2)

d er i v a t i v e 1 - y^{2}

(dy)/(dx)=x^8e^{x^9}

\frac{d y}{d x} = x^{8} e^{x^{9}}

limit as x approaches a+1 of x^2-1

x \to a + 1 lim (x^{2} - 1)

d/(dy)(1/(sqrt(x^2+y^2)))

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

integral of sqrt(64-t^2)

\int 64 - t^{2} d t