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Beliebt Rechnen >

(\partial)/(\partial y)(3x-2y^4)

Lösung

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

Lösung

- 8 y^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (3 x) = 0

\frac{\partial}{\partial y} (2 y^{4}) = 8 y^{3}

= 0 - 8 y^{3}

Vereinfache

= - 8 y^{3}

Beliebte Beispiele

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

\int \frac{x ^{2}}{x ^{3} - 2} d x

fläche x=-2,x=3,y=x^2-12,y=x-6

a re a x = - 2, x = 3, y = x^{2} - 12, y = x - 6

derivative sqrt(1-x^{12)}

d er i v a t i v e 1 - x^{12}

(\partial ^2)/(\partial x^2)(1/(sqrt(xy)))

\frac{\partial ^{2}}{\partial x ^{2}} (\frac{1}{x y})

integral of xsin(1/6 x)

\int x sin (\frac{1}{6} x) d x