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Beliebt Rechnen >

derivative f(x)=2x^4-x^3+6x^2

Lösung

ableitung von

f (x) = 2 x^{4} - x^{3} + 6 x^{2}

Lösung

8 x^{3} - 3 x^{2} + 12 x

Schritte zur Lösung

\frac{d}{d x} (2 x^{4} - x^{3} + 6 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (x^{3}) + \frac{d}{d x} (6 x^{2})

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

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

\frac{d}{d x} (6 x^{2}) = 12 x

= 8 x^{3} - 3 x^{2} + 12 x

Graph

Beliebte Beispiele

tangent (x^2)/(x-2)

t an g e n t \frac{x ^{2}}{x - 2}

integral of tan(mx)sec^2(mx)

\int tan (m x) sec^{2} (m x) d x

limit as x approaches 3 of (3/x-1)/(x-3)

x \to 3 lim (\frac{\frac{3}{x} - 1}{x - 3})

integral from 1 to infinity of 2/(x^3)

\int_{1}^{\infty} \frac{2}{x ^{3}} d x

2 y^{^{''}} + 4 y = 0