(d^2)/(dx^2)(x^7e^x)

Lösung

\frac{d ^{2}}{d x ^{2}} (x^{7} e^{x})

e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (x^{7} e^{x})

\frac{d}{d x} (x^{7} e^{x}) = 7 x^{6} e^{x} + e^{x} x^{7}

= \frac{d}{d x} (7 x^{6} e^{x} + e^{x} x^{7})

\frac{d}{d x} (7 x^{6} e^{x} + e^{x} x^{7}) = e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

= e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

\frac{d ^{2}}{d x ^{2}} (x^{2} + 49)

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