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Beliebt Rechnen >

derivative of sin(x^3-x)

Lösung

\frac{d}{d x} (sin (x^{3} - x))

Lösung

cos (x^{3} - x) (3 x^{2} - 1)

Schritte zur Lösung

\frac{d}{d x} (sin (x^{3} - x))

Wende die Kettenregel an:

cos (x^{3} - x) \frac{d}{d x} (x^{3} - x)

= cos (x^{3} - x) \frac{d}{d x} (x^{3} - x)

\frac{d}{d x} (x^{3} - x) = 3 x^{2} - 1

= cos (x^{3} - x) (3 x^{2} - 1)

Graph

Beliebte Beispiele

fläche 2y=x,x+1=(y-1)^2

a re a 2 y = x, x + 1 = (y - 1)^{2}

derivative of sqrt(7-8x)

\frac{d}{d x} (7 - 8 x)

(dy)/(dx)=(x+y+5)^2

\frac{d y}{d x} = (x + y + 5)^{2}

y^{^{''}} + 2 y = - 4 x

derivative of ((4x+b)/((cx+d)))

\frac{d}{d x} (\frac{( 4 x + b )}{( c x + d )})