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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Löse

f^{''} (x) = \frac{x ^{2} - 2 x + 1}{x ^{2}} : f^{'} (x) = x - 2 ln (x) - \frac{1}{x} + c_{1}

Löse

f^{'} (x) = x - 2 ln (x) - \frac{1}{x} + c_{1} : f (x) = \frac{x ^{2}}{2} - 2 (x ln (x) - x) - ln (x) + c_{1} x + c_{2}

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

Graph

Beliebte Beispiele

derivative of x-x^3sin(x)

inverselaplace s/((s^2+1)(s^2+2s+2))

(dy)/(dx)=y(xy^6+3)

fläche 16x,x^3,[-4,4]

(dy)/(dx)=(x+y+6)^2