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Beliebt Rechnen >

(\partial)/(\partial y)(2x^4y+4)

Lösung

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

Lösung

2 x^{4}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x^{4} + 0

Vereinfache

= 2 x^{4}

Beliebte Beispiele

derivative of sec(0)

\frac{d}{d x} (sec (0))

integral of (4-x^2)^{1/2}

\int (4 - x^{2})^{\frac{1}{2}} d x

(dy)/(dt)=-3/(4sqrt(t))

\frac{d y}{d t} = - \frac{3}{4 t}

(\partial)/(\partial x)(-(2x)/(3y))

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

y^'=(2x)/(1+2y),y(2)=1

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (2) = 1