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Beliebt Rechnen >

derivative of ln((2x+3^2))

Lösung

\frac{d}{d x} (ln ((2 x + 3)^{2}))

Lösung

\frac{4}{2 x + 3}

Schritte zur Lösung

\frac{d}{d x} (ln ((2 x + 3)^{2}))

Wende die Kettenregel an:

\frac{1}{( 2 x + 3 ) ^{2}} \frac{d}{d x} ((2 x + 3)^{2})

= \frac{1}{( 2 x + 3 ) ^{2}} \frac{d}{d x} ((2 x + 3)^{2})

\frac{d}{d x} ((2 x + 3)^{2}) = 4 (2 x + 3)

= \frac{1}{( 2 x + 3 ) ^{2}} \cdot 4 (2 x + 3)

Vereinfache

\frac{1}{( 2 x + 3 ) ^{2}} \cdot 4 (2 x + 3) : \frac{4}{2 x + 3}

= \frac{4}{2 x + 3}

Graph

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