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Beliebt Rechnen >

(\partial)/(\partial x)(2x^3+2xy^3)

Lösung

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

Lösung

6 x^{2} + 2 y^{3}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (2 x^{3}) = 6 x^{2}

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

= 6 x^{2} + 2 y^{3}

Beliebte Beispiele

integral of 1/(16x)

\int \frac{1}{16 x} d x

(\partial)/(\partial x)(y^3sin(3x))

\frac{\partial}{\partial x} (y^{3} sin (3 x))

derivative g(x)=((pi^2))/(x^2+4x)

d er i v a t i v e g (x) = \frac{( π ^{2} )}{x ^{2} + 4 x}

derivative of sec(x-x)

\frac{d}{d x} (sec (x) - x)

tangent y=x^2+4x-11,(2,-1)

t an g e n t y = x^{2} + 4 x - 11, (2, - 1)