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Beliebt Funktionen >

d/(dt)(-4.9t^2+x+21)

Lösung

\frac{d}{d t} (- 4.9 t^{2} + x + 21)

Lösung

- 9.8 t + \frac{d x}{d t}

Schritte zur Lösung

\frac{d}{d t} (- 4.9 t^{2} + x + 21)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d t} (4.9 t^{2}) + \frac{d x}{d t} + \frac{d}{d t} (21)

\frac{d}{d t} (4.9 t^{2}) = 9.8 t

\frac{d}{d t} (21) = 0

= - 9.8 t + \frac{d x}{d t} + 0

Vereinfache

= - 9.8 t + \frac{d x}{d t}

Graph

Beliebte Beispiele

extreme y=x^2+2x-2

e x t re m e y = x^{2} + 2 x - 2

extreme f(x)=-x^3+3x^2+24x+2

e x t re m e f (x) = - x^{3} + 3 x^{2} + 24 x + 2

extreme 432y^{783}

e x t re m e 432 y^{783}

extreme f(x)=2x^3-3x^3-12x+1

e x t re m e f (x) = 2 x^{3} - 3 x^{3} - 12 x + 1

extreme f(x)=4x^4-2a^2x^3

e x t re m e f (x) = 4 x^{4} - 2 a^{2} x^{3}