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Beliebt Rechnen >

derivative f(x)=x^4-4x^3

Lösung

ableitung von

f (x) = x^{4} - 4 x^{3}

Lösung

4 x^{3} - 12 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} - 12 x^{2}

Graph

Beliebte Beispiele

integral of x*sqrt(1-x^4)

\int x \cdot 1 - x^{4} d x

sum from n=0 to infinity of (1/2)^{n+1}

n = 0 \sum \infty (\frac{1}{2})^{n + 1}

y^{^{'}} + \frac{y}{x + 1} = 0

derivative y=(8x^2+2x+8)/(sqrt(x))

d er i v a t i v e y = \frac{8 x ^{2} + 2 x + 8}{x}

derivative x/(x^2+2)

d er i v a t i v e \frac{x}{x ^{2} + 2}