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Beliebt Rechnen >

(arctan(4x))^'

Lösung

(arctan (4 x))^{^{'}}

Lösung

\frac{4}{16 x ^{2} + 1}

Schritte zur Lösung

(arctan (4 x))^{'}

Wende die Kettenregel an:

\frac{1}{( 4 x ) ^{2} + 1} (4 x)^{'}

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

(4 x)^{'} = 4

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

Vereinfache

\frac{1}{( 4 x ) ^{2} + 1} \cdot 4 : \frac{4}{16 x ^{2} + 1}

= \frac{4}{16 x ^{2} + 1}

Graph

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