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Beliebt Rechnen >

(ln(sqrt(x)))^'

Lösung

(ln (x))^{^{'}}

Lösung

\frac{1}{2 x}

Schritte zur Lösung

(ln (x))^{'}

Wende die Kettenregel an:

\frac{1}{x} (x)^{'}

= \frac{1}{x} (x)^{'}

(x)^{'} = \frac{1}{2 x}

= \frac{1}{x} \cdot \frac{1}{2 x}

Vereinfache

\frac{1}{x} \cdot \frac{1}{2 x} : \frac{1}{2 x}

= \frac{1}{2 x}

Graph

Beliebte Beispiele

integral of (x^2-2x-3)

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

(x^2+1)y^'+y^2+1=0,y(4)=e

(x^{2} + 1) y^{^{'}} + y^{2} + 1 = 0, y (4) = e

integral of 1/((sin(x))^2(cos(x))^4)

\int \frac{1}{( sin ( x ) ) ^{2} ( cos ( x ) ) ^{4}} d x

(d^4)/(dx^4)(ln(x))

\frac{d ^{4}}{d x ^{4}} (ln (x))

integral from 1 to infinity of 1/(\sqrt[3]{x)}

\int_{1}^{\infty} \frac{1}{3 x} d x