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Beliebt Rechnen >

d/(dt)((t^2)/2)

Lösung

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

Lösung

t

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{2} \frac{d}{d t} (t^{2})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{2} \cdot 2 t^{2 - 1}

Vereinfache

\frac{1}{2} \cdot 2 t^{2 - 1} : t

= t

Graph

Beliebte Beispiele

derivative of e^{(x^2-x})

\frac{d}{d x} (e^{(x^{2} - x)})

integral from 0 to 3 of x-(x^2-2x)

\int_{0}^{3} x - (x^{2} - 2 x) d x

integral of sqrt(7+6x-x^2)

\int 7 + 6 x - x^{2} d x

\frac{d y}{d x} = 2 e^{x}

limit as x approaches-3 of ((x+2))/(x+3)

x \to - 3 lim (\frac{( x + 2 )}{x + 3})