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)(x^2y^3+2x^4y)

Lösung

\frac{\partial}{\partial y} (x^{2} y^{3} + 2 x^{4} y)

Lösung

3 x^{2} y^{2} + 2 x^{4}

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} y^{3} + 2 x^{4} y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{2} y^{3}) + \frac{\partial}{\partial y} (2 x^{4} y)

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

\frac{\partial}{\partial y} (2 x^{4} y) = 2 x^{4}

= 3 x^{2} y^{2} + 2 x^{4}

Beliebte Beispiele

derivative of sqrt(7-10x)

\frac{d}{d x} (7 - 10 x)

integral of (sin(x))/(5+cos^2(x))

\int \frac{sin ( x )}{5 + cos ^{2} ( x )} d x

derivative of 1-|1-x|

\frac{d}{d x} (1 - ∣ 1 - x ∣)

integral of (x^4)/x

\int \frac{x ^{4}}{x} d x

limit as x approaches 2 of sin(1/(x-2))

x \to 2 lim (sin (\frac{1}{x - 2}))