derivative y=arcsin(x+1)

Lösung

ableitung von

y = arcsin (x + 1)

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

Schritte zur Lösung

\frac{d}{d x} (arcsin (x + 1))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x + 1) = 1

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

Vereinfache

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

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

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