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Beliebt Rechnen >

derivative y=sin(x^5)

Lösung

ableitung von

y = sin (x^{5})

Lösung

cos (x^{5}) \cdot 5 x^{4}

Schritte zur Lösung

\frac{d}{d x} (sin (x^{5}))

Wende die Kettenregel an:

cos (x^{5}) \frac{d}{d x} (x^{5})

= cos (x^{5}) \frac{d}{d x} (x^{5})

\frac{d}{d x} (x^{5}) = 5 x^{4}

= cos (x^{5}) \cdot 5 x^{4}

Graph

Beliebte Beispiele

derivative xe^{ax}

d er i v a t i v e x e^{a x}

derivative of ln(tanh(2x))

\frac{d}{d x} (ln (tanh (2 x)))

derivative of (5x-3(2x+5)^2)

\frac{d}{d x} ((5 x - 3) (2 x + 5)^{2})

limit as x approaches-4-of 1/(x+4)

x \to - 4 - lim (\frac{1}{x + 4})

y^{''}-10y^'+25y=0,y(0)=1,y(1)=0

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 1, y (1) = 0