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Beliebt Rechnen >

(arctan(x^2))^'

Lösung

(arctan (x^{2}))^{^{'}}

Lösung

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

Schritte zur Lösung

(arctan (x^{2}))^{'}

Wende die Kettenregel an:

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

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

(x^{2})^{'} = 2 x

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

Vereinfache

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

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

Graph

Beliebte Beispiele

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\int_{0}^{N} e^{- s t} e^{- 5 t} d t