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Beliebt Rechnen >

(tsin(t))^'

Lösung

(t sin (t))^{^{'}}

Lösung

sin (t) + t cos (t)

Schritte zur Lösung

(t sin (t))^{'}

Wende die Produktregel an:

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

f = t, g = sin (t)

= t^{^{'}} sin (t) + (sin (t))^{^{'}} t

t^{'} = 1

(sin (t))^{'} = cos (t)

= 1 \cdot sin (t) + cos (t) t

Vereinfache

= sin (t) + t cos (t)

Graph

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