(d^2)/(dx^2)(x(x-4)^3)

Lösung

\frac{d ^{2}}{d x ^{2}} (x (x - 4)^{3})

12 x^{2} - 72 x + 96

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x (x - 4)^{3})

\frac{d}{d x} (x (x - 4)^{3}) = (x - 4)^{3} + 3 x (x - 4)^{2}

= \frac{d}{d x} ((x - 4)^{3} + 3 x (x - 4)^{2})

\frac{d}{d x} ((x - 4)^{3} + 3 x (x - 4)^{2}) = 12 x^{2} - 72 x + 96

= 12 x^{2} - 72 x + 96

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