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Beliebt Rechnen >

d/(dt)(sin(t)-tcos(t))

Lösung

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

Lösung

t sin (t)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= cos (t) - (cos (t) - t sin (t))

Vereinfache

= t sin (t)

Graph

Beliebte Beispiele

9x^2y^2+x^{3/2}(dy)/(dx)=y^2

9 x^{2} y^{2} + x^{\frac{3}{2}} \frac{d y}{d x} = y^{2}

derivative x/(x^{-1)+7}

d er i v a t i v e \frac{x}{x ^{- 1} + 7}

integral of (w^3)/(w+1)

\int \frac{w ^{3}}{w + 1} d w

derivative of 19arctan(sqrt(x))

\frac{d}{d x} (19 arctan (x))

derivative ln((6x^2+5)/(x^{4/5)})

d er i v a t i v e ln (\frac{6 x ^{2} + 5}{x ^{\frac{4}{5}}})