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Beliebt Rechnen >

f^'(x)=2x^2+x-1

Lösung

f^{^{'}} (x) = 2 x^{2} + x - 1

Lösung

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

Schritte zur Lösung

f^{'} (x) = 2 x^{2} + x - 1

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int 2 x^{2} + x - 1 d x

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

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

Graph

Beliebte Beispiele

integral of sqrt(64-x^2)

\int 64 - x^{2} d x

derivative of 5/(sqrt(x+8))

\frac{d}{d x} (\frac{5}{x + 8})

derivative of ln(4sin^2(x))

\frac{d}{d x} (ln (4 sin^{2} (x)))

derivative of 3^x-2^x

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

derivative of xsqrt(6-x^2)

\frac{d}{d x} (x 6 - x^{2})