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Beliebt Rechnen >

derivative of 8x^3+4x^2-5x+4

Lösung

\frac{d}{d x} (8 x^{3} + 4 x^{2} - 5 x + 4)

Lösung

24 x^{2} + 8 x - 5

Schritte zur Lösung

\frac{d}{d x} (8 x^{3} + 4 x^{2} - 5 x + 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x^{3}) + \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (4)

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

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

\frac{d}{d x} (4) = 0

= 24 x^{2} + 8 x - 5 + 0

Vereinfache

= 24 x^{2} + 8 x - 5

Graph

Beliebte Beispiele

derivative arcsin(5x)

d er i v a t i v e arcsin (5 x)

derivative ((8x)^9)/9

d er i v a t i v e \frac{( 8 x ) ^{9}}{9}

\int - 3 y d y

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derivative of (4-2x(-x^3-2x^2+1))

\frac{d}{d x} ((4 - 2 x) (- x^{3} - 2 x^{2} + 1))