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Beliebt Rechnen >

derivative sqrt(3)(x^3-x^2)

Lösung

ableitung von

3 (x^{3} - x^{2})

Lösung

3 (3 x^{2} - 2 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 (3 x^{2} - 2 x)

Graph

Beliebte Beispiele

y^{^{'}} + 2 y = 16

integral of x(x^2-1)^5

\int x (x^{2} - 1)^{5} d x

(d^2)/(dx^2)(e^x-x^5)

\frac{d ^{2}}{d x ^{2}} (e^{x} - x^{5})

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

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

y^{''}-4y^'=e^{2x}

y^{^{''}} - 4 y^{^{'}} = e^{2 x}