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Beliebt Rechnen >

derivative t^9cos(t)

Lösung

ableitung von

t^{9} cos (t)

Lösung

9 t^{8} cos (t) - t^{9} sin (t)

Schritte zur Lösung

\frac{d}{d t} (t^{9} cos (t))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t^{9}, g = cos (t)

= \frac{d}{d t} (t^{9}) cos (t) + \frac{d}{d t} (cos (t)) t^{9}

\frac{d}{d t} (t^{9}) = 9 t^{8}

\frac{d}{d t} (cos (t)) = - sin (t)

= 9 t^{8} cos (t) + (- sin (t)) t^{9}

Vereinfache

= 9 t^{8} cos (t) - t^{9} sin (t)

Graph

Beliebte Beispiele

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fläche y=sqrt(4x),x=4,x=9

a re a y = 4 x, x = 4, x = 9

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\int \frac{1}{t ^{2} + 4} d t

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\int - 2 + 18 x - 12 x^{2} d x