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Beliebt Rechnen >

(\partial)/(\partial x)(arcsin(2x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (2 x) = 2

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

Vereinfache

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

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

Beliebte Beispiele

fläche x^{1/2},x^2

a re a x^{\frac{1}{2}}, x^{2}

derivative y= 9/x+2sin(x)

d er i v a t i v e y = \frac{9}{x} + 2 sin (x)

derivative p(x)=sqrt(x)-\sqrt[4]{x}

d er i v a t i v e p (x) = x - 4 x

limit as x approaches infinity of 5

x \to \infty lim (5)

derivative of (-8/x)

\frac{d}{d x} (\frac{- 8}{x})