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Beliebt Rechnen >

derivative of x^3-2x^2+x+1

Lösung

\frac{d}{d x} (x^{3} - 2 x^{2} + x + 1)

Lösung

3 x^{2} - 4 x + 1

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 2 x^{2} + x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (2 x^{2}) + \frac{d x}{d x} + \frac{d}{d x} (1)

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= 3 x^{2} - 4 x + 1 + 0

Vereinfache

= 3 x^{2} - 4 x + 1

Graph

Beliebte Beispiele

(\partial)/(\partial x)((e^x)/(y+x^3))

\frac{\partial}{\partial x} (\frac{e ^{x}}{y + x ^{3}})

derivative of tan(pi/4)

\frac{d}{d x} (tan (\frac{π}{4}))

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

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

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x \to \infty lim (x^{8})

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