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Beliebt Rechnen >

d/(dt)(t^3+7t^2+24t+12)

Lösung

\frac{d}{d t} (t^{3} + 7 t^{2} + 24 t + 12)

Lösung

3 t^{2} + 14 t + 24

Schritte zur Lösung

\frac{d}{d t} (t^{3} + 7 t^{2} + 24 t + 12)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (t^{3}) + \frac{d}{d t} (7 t^{2}) + \frac{d}{d t} (24 t) + \frac{d}{d t} (12)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (7 t^{2}) = 14 t

\frac{d}{d t} (24 t) = 24

\frac{d}{d t} (12) = 0

= 3 t^{2} + 14 t + 24 + 0

Vereinfache

= 3 t^{2} + 14 t + 24

Graph

Beliebte Beispiele

derivative y=3x^{10}

d er i v a t i v e y = 3 x^{10}

derivative h(x)= 5/(6x^5)

d er i v a t i v e h (x) = \frac{5}{6 x ^{5}}

(sin(x^3-4x+2))^'

(sin (x^{3} - 4 x + 2))^{^{'}}

derivative cot^4(x)

d er i v a t i v e cot^{4} (x)

derivative 1/((z-1))

d er i v a t i v e \frac{1}{( z - 1 )}