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Beliebt Rechnen >

derivative of xln(x+2x)

Lösung

\frac{d}{d x} (x ln (x) + 2 x)

Lösung

ln (x) + 3

Schritte zur Lösung

\frac{d}{d x} (x ln (x) + 2 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x ln (x)) + \frac{d}{d x} (2 x)

\frac{d}{d x} (x ln (x)) = ln (x) + 1

\frac{d}{d x} (2 x) = 2

= ln (x) + 1 + 2

Vereinfache

= ln (x) + 3

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^2ln(x^2+y^2))

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

integral of (7x^6+7x^3+4)

\int (7 x^{6} + 7 x^{3} + 4) d x

integral of e^{ln(x^2)}x

\int e^{l n (x^{2})} x d x

derivative of e^{2x}-cos(2x)

\frac{d}{d x} (e^{2 x} - cos (2 x))

limit as x approaches 0 of ((sin(4x)))/x

x \to 0 lim (\frac{( sin ( 4 x ) )}{x})