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Beliebt Rechnen >

derivative x^4-8x^3

Lösung

ableitung von

x^{4} - 8 x^{3}

Lösung

4 x^{3} - 24 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x^{3} - 24 x^{2}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(3/(3x+2y))

\frac{\partial}{\partial x} (\frac{3}{3 x + 2 y})

(dy)/(dx)=(xy+x^2+y^2)/(x^2)

\frac{d y}{d x} = \frac{x y + x ^{2} + y ^{2}}{x ^{2}}

derivative of 3x^3-4

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

y^{^{''}} + 11 y = 0

t an g e n t x^{2} = 2 y