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Beliebt Rechnen >

derivative 23x^3+x^2-12x+17

Lösung

ableitung von

23 x^{3} + x^{2} - 12 x + 17

Lösung

69 x^{2} + 2 x - 12

Schritte zur Lösung

\frac{d}{d x} (23 x^{3} + x^{2} - 12 x + 17)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (23 x^{3}) + \frac{d}{d x} (x^{2}) - \frac{d}{d x} (12 x) + \frac{d}{d x} (17)

\frac{d}{d x} (23 x^{3}) = 69 x^{2}

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

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

\frac{d}{d x} (17) = 0

= 69 x^{2} + 2 x - 12 + 0

Vereinfache

= 69 x^{2} + 2 x - 12

Graph

Beliebte Beispiele

(dy)/(dx)=(x-3)/(2-y)

\frac{d y}{d x} = \frac{x - 3}{2 - y}

f (x) = x \cdot ln (x)

y^{''}+16y^'+65y=6e^{-8t}cos(t)

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