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Beliebt Rechnen >

derivative of arcsin(1-x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral from 3 to infinity of 1/(x^2+x)

\int_{3}^{\infty} \frac{1}{x ^{2} + x} d x

integral of 2x(x^2+6)^9

\int 2 x (x^{2} + 6)^{9} d x

derivative of arcsin(4-3x)

\frac{d}{d x} (arcsin (4 - 3 x))

t^2(dy)/(dt)+ty=6

t^{2} \frac{d y}{d t} + t y = 6

sum from n=0 to infinity of n/3 (2/3)^n

n = 0 \sum \infty \frac{n}{3} (\frac{2}{3})^{n}