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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y^{2} + 0

Vereinfache

= 2 y^{2}

Beliebte Beispiele

limit as w approaches infinity of (2w^2-3w+4)/(5w^2+7w-1)

w \to \infty lim (\frac{2 w ^{2} - 3 w + 4}{5 w ^{2} + 7 w - 1})

y^{^{''}} - k y = 0

limit as x approaches-2 of (x-6)^{2/3}

x \to - 2 lim ((x - 6)^{\frac{2}{3}})

y^'=0.2ln((2000)/y)y

y^{^{'}} = 0.2 ln (\frac{2000}{y}) y

derivative of 6/(1+cos(x))

\frac{d}{d x} (\frac{6}{1 + cos ( x )})