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Beliebt Rechnen >

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

Lösung

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

Lösung

12 x^{2} + 8 x - 8

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

\frac{d}{d x} (8 x) = 8

= 12 x^{2} + 8 x - 8

Graph

Beliebte Beispiele

derivative of ln(x+sqrt(x^2-11))

\frac{d}{d x} (ln (x + x^{2} - 11))

derivative f(x)=x+3

d er i v a t i v e f (x) = x + 3

(dy)/(dx)=y(xy^6+4)

\frac{d y}{d x} = y (x y^{6} + 4)

sum from n=1 to infinity of 1/((3n-1)^4)

n = 1 \sum \infty \frac{1}{( 3 n - 1 ) ^{4}}

y^{^{'}} + 5 x y = 0