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Beliebt Rechnen >

derivative of 2xln(x+x^2-1)

Lösung

\frac{d}{d x} (2 x ln (x) + x^{2} - 1)

Lösung

2 x + 2 (ln (x) + 1)

Schritte zur Lösung

\frac{d}{d x} (2 x ln (x) + x^{2} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x ln (x)) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (1)

\frac{d}{d x} (2 x ln (x)) = 2 (ln (x) + 1)

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

\frac{d}{d x} (1) = 0

= 2 (ln (x) + 1) + 2 x - 0

Vereinfache

= 2 x + 2 (ln (x) + 1)

Graph

Beliebte Beispiele

integral of 3sin^5(x)cos^{-3/2}(x)

\int 3 sin^{5} (x) cos^{- \frac{3}{2}} (x) d x

integral of 2/x+3e^x

\int \frac{2}{x} + 3 e^{x} d x

integral of 1/(x(2+3u))

\int \frac{1}{x ( 2 + 3 u )} d x

y^{''}-2y^'+y=0

y^{^{''}} - 2 y^{^{'}} + y = 0

integral of x(12x+4)

\int x (12 x + 4) d x