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Beliebt Rechnen >

derivative of sin(x^3-3x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

derivative f(x)=xe^{2x}

d er i v a t i v e f (x) = x e^{2 x}

integral of (x^5)/(x^6-6)

\int \frac{x ^{5}}{x ^{6} - 6} d x

limit as x approaches-5+of (|x+5|)/(x+5)

x \to - 5 + lim (\frac{∣ x + 5 ∣}{x + 5})

derivative of sin^3(2x^2)

\frac{d}{d x} (sin^{3} (2 x^{2}))

integral of 4^x*e^{2x}

\int 4^{x} \cdot e^{2 x} d x