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Beliebt Rechnen >

(\partial)/(\partial y)(2xy^4-1)

Lösung

\frac{\partial}{\partial y} (2 x y^{4} - 1)

Lösung

8 x y^{3}

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x y^{4} - 1)

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} (1)

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

\frac{\partial}{\partial y} (1) = 0

= 8 x y^{3} - 0

Vereinfache

= 8 x y^{3}

Beliebte Beispiele

derivative (5x^2+11x)^{4/3}

d er i v a t i v e (5 x^{2} + 11 x)^{\frac{4}{3}}

integral of e^{-x(y+1)}

\int e^{- x (y + 1)} d x

integral from 0 to 50 of 9.8(500-10y)

\int_{0}^{50} 9.8 (500 - 10 y) d y

(\partial)/(\partial t)(2t)

\frac{\partial}{\partial t} (2 t)

tangent f(x)= 6/(4x+1),\at x=-1

t an g e n t f (x) = \frac{6}{4 x + 1}, at x = - 1