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^4y-2x^3y^2)

Lösung

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

Lösung

4 y x^{3} - 6 y^{2} x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (2 x^{3} y^{2}) = 6 y^{2} x^{2}

= 4 y x^{3} - 6 y^{2} x^{2}

Beliebte Beispiele

integral of e x/2

\int e \frac{x}{2} d x

limit as x approaches 3+of (3-x)/(|x-3|)

x \to 3 + lim (\frac{3 - x}{∣ x - 3 ∣})

y^{^{'}} = ln (x)

laplacetransform f(t)=(1+e^{4t})^2

l a pl a ce t r an s f or m f (t) = (1 + e^{4 t})^{2}

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

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