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Beliebt Rechnen >

derivative of x-1/2 x^2

Lösung

\frac{d}{d x} (x - \frac{1}{2} x^{2})

Lösung

1 - x

Schritte zur Lösung

\frac{d}{d x} (x - \frac{1}{2} x^{2})

Vereinfache

x - \frac{1}{2} x^{2} : x - \frac{x ^{2}}{2}

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{x ^{2}}{2}) = x

= 1 - x

Graph

Beliebte Beispiele

integral of sec^2(θ)tan^9(θ)

\int sec^{2} (θ) tan^{9} (θ) d θ

limit as x approaches 4 of 4

x \to 4 lim (4)

y^{''}=4sin(7x)

y^{^{''}} = 4 sin (7 x)

integral of 2ln(x)

\int 2 ln (x) d x

integral of (sin(5x))

\int (sin (5 x)) d x