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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{3}{x + 2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{3}{x + 2}

Graph

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