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Beliebt Rechnen >

derivative of-4x^3+4x

Lösung

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

Lösung

- 12 x^{2} + 4

Schritte zur Lösung

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

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

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

= - 12 x^{2} + 4

Graph

Beliebte Beispiele

integral of c(x)

\int c (x) d x

derivative h(x)=[(x+1)/(x-1)]^3

d er i v a t i v e h (x) = [\frac{x + 1}{x - 1}]^{3}

(\partial)/(\partial x)((y/z)^{1/x})

\frac{\partial}{\partial x} ((\frac{y}{z})^{\frac{1}{x}})

y^{''}+3y=48x^2e^{3x}

y^{^{''}} + 3 y = 48 x^{2} e^{3 x}

derivative f(x)=x^{-4}

d er i v a t i v e f (x) = x^{- 4}