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Beliebt Rechnen >

d/(dt)((c_{1}+c,t)*e^t)

Lösung

\frac{d}{d t} ((c_{1} + c, t) \cdot e^{t})

Lösung

(0 + (c, 1)) e^{t} + e^{t} (c_{1} + c, t)

Schritte zur Lösung

\frac{d}{d t} ((c_{1} + c, t) e^{t})

Wende die Produktregel an:

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

f = c_{1} + c, t, g = e^{t}

= \frac{d}{d t} (c_{1} + c, t) e^{t} + \frac{d}{d t} (e^{t}) (c_{1} + c, t)

\frac{d}{d t} (c_{1} + c, t) = 0 + (c, 1)

\frac{d}{d t} (e^{t}) = e^{t}

= (0 + (c, 1)) e^{t} + e^{t} (c_{1} + c, t)

Graph

Beliebte Beispiele

d/(dt)(12+3t+4t^2)

\frac{d}{d t} (12 + 3 t + 4 t^{2})

derivative log_{10}(1+tan^1(x))

d er i v a t i v e lo g_{10} (1 + tan^{1} (x))

derivative of a(b(x-h)^2+k)

\frac{d}{d x} (a (b (x - h))^{2} + k)

d/(dt)(-60+20t)

\frac{d}{d t} (- 60 + 20 t)

derivative y=5x+x+5

d er i v a t i v e y = 5 x + x + 5