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Beliebt Rechnen >

(\partial)/(\partial x)(8x^2)

Lösung

\frac{\partial}{\partial x} (8 x^{2})

Lösung

16 x

Schritte zur Lösung

\frac{\partial}{\partial x} (8 x^{2})

Entferne die Konstante:

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

= 8 \frac{\partial}{\partial x} (x^{2})

Wende die Potenzregel an:

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

= 8 \cdot 2 x^{2 - 1}

Vereinfache

= 16 x

Beliebte Beispiele

3y^{''}-5y^'-2y=x^3-2x

3 y^{^{''}} - 5 y^{^{'}} - 2 y = x^{3} - 2 x

limit as x approaches-2 of x^3-2x^2+1

x \to - 2 lim (x^{3} - 2 x^{2} + 1)

derivative of arctan(x-5)

\frac{d}{d x} (arctan (x - 5))

derivative (2x-1)/(2x+3)

d er i v a t i v e \frac{2 x - 1}{2 x + 3}

integral of (x^4+1)/(x^3-x^2)

\int \frac{x ^{4} + 1}{x ^{3} - x ^{2}} d x