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

Lösung

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

\frac{2}{x + 3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2}{x + 3}

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