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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

2 ln (x) \frac{\partial}{\partial x} (ln (x))

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

\frac{\partial}{\partial x} (ln (x)) = \frac{1}{x}

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

Vereinfache

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

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

Beliebte Beispiele

integral of 1/((x^2-4x+5))

\int \frac{1}{( x ^{2} - 4 x + 5 )} d x

derivative-1/((3+t)^2)

d er i v a t i v e - \frac{1}{( 3 + t ) ^{2}}

laplacetransform t^2e^{-,\at}

l a pl a ce t r an s f or m t^{2} e^{-, at}

integral of (sqrt(x^2+25))/x

\int \frac{x ^{2} + 25}{x} d x

integral of (7-1/3 sin(x)+9cos(x))

\int (7 - \frac{1}{3} sin (x) + 9 cos (x)) d x