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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y + 3 x^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y + 3 x^{2}

Beliebte Beispiele

8^{^{'}}

integral of 8/(xln(3x))

\int \frac{8}{x ln ( 3 x )} d x

limit as x approaches-2 of 1/x

x \to - 2 lim (\frac{1}{x})

tangent f(x)= 5/(sqrt(x)),\at x=4

t an g e n t f (x) = \frac{5}{x}, at x = 4

(log_{10}(x))^'

(lo g_{10} (x))^{^{'}}