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Beliebt Rechnen >

derivative of (ln(x+1)^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

2 ln (x + 1) \frac{1}{x + 1} : \frac{2 ln ( x + 1 )}{x + 1}

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

Graph

Beliebte Beispiele

fläche y=9x,y=x^2-10,y=0

a re a y = 9 x, y = x^{2} - 10, y = 0

derivative \sqrt[3]{1+4x}

d er i v a t i v e 3 1 + 4 x

y^{^{'}} + 3 x^{2} y = 0

integral from 1 to 3 of 6/(x^2)

\int_{1}^{3} \frac{6}{x ^{2}} d x

integral of 121-x^2

\int 121 - x^{2} d x