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Beliebt Rechnen >

derivative of 3x^8

Lösung

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

Lösung

24 x^{7}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 \cdot 8 x^{8 - 1}

Vereinfache

= 24 x^{7}

Graph

Beliebte Beispiele

limit as x approaches-1 of 4x^2+6

x \to - 1 lim (4 x^{2} + 6)

limit as x approaches 0-of e^{cot(x)}

x \to 0 - lim (e^{c o t (x)})

x y^{^{'}} - 2 y = 3 x

(1+(y^')^2)^{3/2}=y^{''}

(1 + (y^{^{'}})^{2})^{\frac{3}{2}} = y^{^{''}}

(dy)/(dx)= 1/(sqrt(4-x^2))

\frac{d y}{d x} = \frac{1}{4 - x ^{2}}