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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

limit as x approaches 3-of (ln(x))/(x-3)

x \to 3 - lim (\frac{ln ( x )}{x - 3})

(\partial)/(\partial x)(-sin(y)+e^x)

\frac{\partial}{\partial x} (- sin (y) + e^{x})

derivative of x*tan(x)

\frac{d}{d x} (x \cdot tan (x))

integral of 5/((3x-1)^3)

\int \frac{5}{( 3 x - 1 ) ^{3}} d x

integral of (e^{-5x}+3xe^x)/2

\int \frac{e ^{- 5 x} + 3 x e ^{x}}{2} d x