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Beliebt Rechnen >

derivative of sqrt(1+ln(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral from-2 to 32 of 1/(sqrt(|2x|))

\int_{- 2}^{32} \frac{1}{∣ 2 x ∣} d x

laplacetransform t*e^{,\at}

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

y^{^{'}} - 2 y = 4 e^{4 t}

(\partial)/(\partial x)(ln(xz)+yln(x)-x^2+4)

\frac{\partial}{\partial x} (ln (x z) + y ln (x) - x^{2} + 4)

integral of x(3x-2)^2

\int x (3 x - 2)^{2} d x