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Beliebt Rechnen >

f^{''}(x)=5x^2-10x-6/(x^4)

Lösung

f^{^{''}} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}}

Lösung

f (x) = \frac{5 x ^{4}}{12} - \frac{5 x ^{3}}{3} - \frac{1}{x ^{2}} + c_{1} x + c_{2}

Schritte zur Lösung

f^{''} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}}

Löse

f^{''} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}} : f^{'} (x) = \frac{5 x ^{3}}{3} - 5 x^{2} + \frac{2}{x ^{3}} + c_{1}

Löse

f^{'} (x) = \frac{5 x ^{3}}{3} - 5 x^{2} + \frac{2}{x ^{3}} + c_{1} : f (x) = \frac{5 x ^{4}}{12} - \frac{5 x ^{3}}{3} - \frac{1}{x ^{2}} + c_{1} x + c_{2}

f (x) = \frac{5 x ^{4}}{12} - \frac{5 x ^{3}}{3} - \frac{1}{x ^{2}} + c_{1} x + c_{2}

Graph

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\int \frac{1}{196 + x ^{2}} d x

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x \to - 1 lim (2 x^{2} - \frac{3}{x - 1})