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Beliebt Rechnen >

derivative y=ln(sqrt(2x+1))

Lösung

ableitung von

y = ln (2 x + 1)

Lösung

\frac{1}{2 x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of log_{2}(2x^2-7x+1)

\frac{d}{d x} (lo g_{2} (2 x^{2} - 7 x + 1))

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\int 4 x e^{9 x} d x

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t an g e n t y = \frac{3}{x}, (5, \frac{3}{5})

derivative of cot(sqrt(x))

\frac{d}{d x} (cot (x))