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Beliebt Rechnen >

derivative of 3x^2-2x+7

Lösung

\frac{d}{d x} (3 x^{2} - 2 x + 7)

Lösung

6 x - 2

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} - 2 x + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (7)

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (7) = 0

= 6 x - 2 + 0

Vereinfache

= 6 x - 2

Graph

Beliebte Beispiele

limit as x approaches 2 of (x+2)^6(3x^2)

x \to 2 lim ((x + 2)^{6} (3 x^{2}))

y^{''}+9y=t^2e^3t+6

y^{^{''}} + 9 y = t^{2} e^{3} t + 6

inverselaplace 1/((s-3)(s+1))

in v erse l a pl a ce \frac{1}{( s - 3 ) ( s + 1 )}

integral of (3x-y)/9

\int \frac{3 x - y}{9} d y

y^{''}-14y^'+49y=3t^{-1}e^{7t}

y^{^{''}} - 14 y^{^{'}} + 49 y = 3 t^{- 1} e^{7 t}