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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x y^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 8 x y^{3} - 0

Vereinfache

= 8 x y^{3}

Beliebte Beispiele

integral of (x+2)/(x^2+5x-6)

\int \frac{x + 2}{x ^{2} + 5 x - 6} d x

integral from 0 to 1 of x^2x

\int_{0}^{1} x^{2} x d x

derivative x/(x^2-7)

d er i v a t i v e \frac{x}{x ^{2} - 7}

integral of (x^4-x^2+1/(x^3)-1/(x^2))

\int (x^{4} - x^{2} + \frac{1}{x ^{3}} - \frac{1}{x ^{2}}) d x

integral of 3+2xy

\int 3 + 2 x y d x