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Beliebt Rechnen >

f^'(x)=-(4x)/((1+2x^2)^2)

Lösung

f^{^{'}} (x) = - \frac{4 x}{( 1 + 2 x ^{2} ) ^{2}}

Lösung

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

Schritte zur Lösung

f^{'} (x) = - \frac{4 x}{( 1 + 2 x ^{2} ) ^{2}}

Wenn

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

dann

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

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

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

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

Graph

Beliebte Beispiele

(6y+2x-7)dx+(4y+6x-1)dy=0

(6 y + 2 x - 7) d x + (4 y + 6 x - 1) d y = 0

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\int 4 cos^{3} (6 x) d x

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