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Beliebt Rechnen >

derivative of arcsin^2(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

2 arcsin (x) \frac{1}{1 - x ^{2}} : \frac{2 arcsin ( x )}{1 - x ^{2}}

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

Graph

Beliebte Beispiele

derivative sin(2θ)

d er i v a t i v e sin (2 θ)

derivative of csc(4x)

\frac{d}{d x} (csc (4 x))

y^{''}-18y^'+145y=0

y^{^{''}} - 18 y^{^{'}} + 145 y = 0

integral of cos^3(7-x)sin(7-x)

\int cos^{3} (7 - x) sin (7 - x) d x

integral from 0 to 4 of 6x-x^2

\int_{0}^{4} 6 x - x^{2} d x