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Beliebt Rechnen >

derivative of 2x^3+3x^2-12x+5

Lösung

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 5)

Lösung

6 x^{2} + 6 x - 12

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 12 x + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (12 x) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (5) = 0

= 6 x^{2} + 6 x - 12 + 0

Vereinfache

= 6 x^{2} + 6 x - 12

Graph

Beliebte Beispiele

integral of 19sin^2(x)cos^2(x)

\int 19 sin^{2} (x) cos^{2} (x) d x

derivative y=(x+1)/(2x-1)

d er i v a t i v e y = \frac{x + 1}{2 x - 1}

y^{^{'}} - y = e^{2 x}

integral of 12cos(4x)

\int 12 cos (4 x) d x

derivative f(x)=5x+1

d er i v a t i v e f (x) = 5 x + 1