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Beliebt Rechnen >

derivative of arcsin(5x-1)

Lösung

\frac{d}{d x} (arcsin (5 x - 1))

Lösung

\frac{5}{- 25 x ^{2} + 10 x}

Schritte zur Lösung

\frac{d}{d x} (arcsin (5 x - 1))

Wende die Kettenregel an:

\frac{1}{1 - ( 5 x - 1 ) ^{2}} \frac{d}{d x} (5 x - 1)

= \frac{1}{1 - ( 5 x - 1 ) ^{2}} \frac{d}{d x} (5 x - 1)

\frac{d}{d x} (5 x - 1) = 5

= \frac{1}{1 - ( 5 x - 1 ) ^{2}} \cdot 5

Vereinfache

\frac{1}{1 - ( 5 x - 1 ) ^{2}} \cdot 5 : \frac{5}{- 25 x ^{2} + 10 x}

= \frac{5}{- 25 x ^{2} + 10 x}

Graph

Beliebte Beispiele

integral from-2 to 0 of 5/(x^2+4x+8)

\int_{- 2}^{0} \frac{5}{x ^{2} + 4 x + 8} d x

limit as x approaches 4 of-x^2+3x-7

x \to 4 lim (- x^{2} + 3 x - 7)

derivative of pi/5

\frac{d}{d x} (\frac{π}{5})

integral of x^2+2x-15

\int x^{2} + 2 x - 15 d x

fläche x^2-43,-2x+5,-8,6

a re a x^{2} - 43, - 2 x + 5, - 8, 6