(d^2)/(dx^2)(xsqrt(x^2+1))

Lösung

\frac{d ^{2}}{d x ^{2}} (x x^{2} + 1)

\frac{2 x ^{3} + 3 x}{( x ^{2} + 1 ) x ^{2} + 1}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x x^{2} + 1)

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

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

\frac{d}{d x} (\frac{2 x ^{2} + 1}{x ^{2} + 1}) = \frac{2 x ^{3} + 3 x}{( x ^{2} + 1 ) x ^{2} + 1}

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