(d^2)/(dx^2)f(x)=5x^3+12x^2+8x+22

Lösung

\frac{d ^{2}}{d x ^{2}} f (x) = 5 x^{3} + 12 x^{2} + 8 x + 22

f (x) = \frac{x ^{5}}{4} + x^{4} + \frac{4 x ^{3}}{3} + 11 x^{2} + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} = 5 x^{3} + 12 x^{2} + 8 x + 22

Löse

f^{''} (x) = 5 x^{3} + 12 x^{2} + 8 x + 22 : f^{'} (x) = \frac{5 x ^{4}}{4} + 4 x^{3} + 4 x^{2} + 22 x + c_{1}

Löse

f^{'} (x) = \frac{5 x ^{4}}{4} + 4 x^{3} + 4 x^{2} + 22 x + c_{1} : f (x) = \frac{x ^{5}}{4} + x^{4} + \frac{4 x ^{3}}{3} + 11 x^{2} + c_{1} x + c_{2}

f (x) = \frac{x ^{5}}{4} + x^{4} + \frac{4 x ^{3}}{3} + 11 x^{2} + c_{1} x + c_{2}

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