derivative arcsin(2x)

Lösung

ableitung von

arcsin (2 x)

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d 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}}

t an g e n t f (x) = x^{4} - 2 x^{2}, at x = 1

x \to 0 + lim (\frac{1}{x} - cot (x))

\int \frac{5 f ( x )}{x ^{2} ( x + 1 ) ^{3}} d x

\int_{0}^{π} sin (n x) d x

d er i v a t i v e \frac{- cos ( x )}{4 x ^{2} + 2 x - 3}