(d^4)/(dx^4)(16e^{x^2})

Lösung

\frac{d ^{4}}{d x ^{4}} (16 e^{x^{2}})

32 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

Schritte zur Lösung

\frac{d ^{4}}{d x ^{4}} (16 e^{x^{2}})

\frac{d}{d x} (16 e^{x^{2}}) = 32 e^{x^{2}} x

= \frac{d ^{3}}{d x ^{3}} (32 e^{x^{2}} x)

\frac{d}{d x} (32 e^{x^{2}} x) = 32 (2 e^{x^{2}} x^{2} + e^{x^{2}})

= \frac{d ^{2}}{d x ^{2}} (32 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

\frac{d}{d x} (32 (2 e^{x^{2}} x^{2} + e^{x^{2}})) = 32 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

= \frac{d}{d x} (32 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x))

\frac{d}{d x} (32 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)) = 32 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

= 32 (8 e^{x^{2}} x^{4} + 24 e^{x^{2}} x^{2} + 6 e^{x^{2}})

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