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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Beliebte Beispiele

steigung (7,3),(2,-3)

s l o p e (7, 3), (2, - 3)

fläche 4x-x^2,x

a re a 4 x - x^{2}, x

derivative f(x)=ln(ln(x^2))

d er i v a t i v e f (x) = ln (ln (x^{2}))

limit as x approaches 1 of |2x|

x \to 1 lim (∣ 2 x ∣)

implicit (dy)/(dx),x+y^2=1

im pl i c i t \frac{d y}{d x}, x + y^{2} = 1