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Beliebt Rechnen >

derivative tsin(t)+cos(t)

Lösung

ableitung von

t sin (t) + cos (t)

Lösung

t cos (t)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= t cos (t)

Graph

Beliebte Beispiele

2t^2(dx)/(dt)=3tx+x^2

2 t^{2} \frac{d x}{d t} = 3 t x + x^{2}

derivative y= 5/(4x^3)

d er i v a t i v e y = \frac{5}{4 x ^{3}}

limit as x approaches 0-of x^2

x \to 0 - lim (x^{2})

(dN)/(dt)+N=Nte^{t+5}

\frac{d N}{d t} + N = Nt e^{t + 5}

limit as x approaches 0 of sqrt(x-3)

x \to 0 lim (x - 3)