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Beliebt Rechnen >

derivative of a+bx+cx^2

Lösung

\frac{d}{d x} (a + b x + c x^{2})

Lösung

2 c x + b

Schritte zur Lösung

\frac{d}{d x} (a + b x + c x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d a}{d x} + \frac{d}{d x} (b x) + \frac{d}{d x} (c x^{2})

\frac{d a}{d x} = 0

\frac{d}{d x} (b x) = b

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

= 0 + b + 2 c x

Vereinfache

= 2 c x + b

Graph

Beliebte Beispiele

limit as x approaches 0 of (1+0.01)^{3/(0.01)}

x \to 0 lim ((1 + 0.01)^{\frac{3}{0.01}})

(2sqrt(xy)-y)dx-xdy=0

(2 x y - y) d x - x d y = 0

integral of \sqrt[5]{tan(7x)}sec^2(7x)

\int 5 tan (7 x) sec^{2} (7 x) d x

integral of arctan(t)

\int arctan (t) d t

(dQ)/(dt)+(5Q)/(100-2t)=300

\frac{d Q}{d t} + \frac{5 Q}{100 - 2 t} = 300