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Beliebt Rechnen >

derivative of (x-1^n)

Lösung

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

Lösung

n (x - 1)^{n - 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= n (x - 1)^{n - 1} \cdot 1

Vereinfache

= n (x - 1)^{n - 1}

Graph

Beliebte Beispiele

fläche y=9-2x,y=x^2-39

a re a y = 9 - 2 x, y = x^{2} - 39

e^yy^'=(x+e^y-1)

e^{y} y^{^{'}} = (x + e^{y} - 1)

integral of x^2sqrt(7x+8)

\int x^{2} 7 x + 8 d x

vereinfachen d/(dd)(ax^3+bx^2+cx+d)

s im pl i f y \frac{d}{dd} (a x^{3} + b x^{2} + c x + d)

derivative of (x^3-2x(-x+6x^2))

\frac{d}{d x} ((x^{3} - 2 x) (- x + 6 x^{2}))