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Beliebt Rechnen >

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

Lösung

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

Lösung

y^{3} + 2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y^{3} + 2 x

Beliebte Beispiele

integral of ln(1+y)

\int ln (1 + y) d y

derivative y=ln(sqrt(x+3))

d er i v a t i v e y = ln (x + 3)

y^{''}+9y=-sin(3t)

y^{^{''}} + 9 y = - sin (3 t)

fläche y=2x^3+3x^2-4x,y=x^2

a re a y = 2 x^{3} + 3 x^{2} - 4 x, y = x^{2}

derivative f(x)= 2/(4x+3)

d er i v a t i v e f (x) = \frac{2}{4 x + 3}