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Beliebt Rechnen >

derivative of 7arcsin(x^2)

Lösung

\frac{d}{d x} (7 arcsin (x^{2}))

Lösung

\frac{14 x}{1 - x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (7 arcsin (x^{2}))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} (arcsin (x^{2}))

Wende die Kettenregel an:

\frac{1}{1 - ( x ^{2} ) ^{2}} \frac{d}{d x} (x^{2})

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

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

= 7 \cdot \frac{1}{1 - ( x ^{2} ) ^{2}} \cdot 2 x

Vereinfache

7 \cdot \frac{1}{1 - ( x ^{2} ) ^{2}} \cdot 2 x : \frac{14 x}{1 - x ^{4}}

= \frac{14 x}{1 - x ^{4}}

Graph

Beliebte Beispiele

integral of (sqrt(2y^2-3))/(y^2)

\int \frac{2 y ^{2} - 3}{y ^{2}} d y

derivative of (2x^{4x})

\frac{d}{d x} ((2 x)^{4 x})

integral of (x^2+5)

\int (x^{2} + 5) d x

integral of (sqrt(x+1))/x

\int \frac{x + 1}{x} d x

y^{^{'}} = 4 y^{2} + 1