(d^7)/(dx^7)((2x+5)^7)

Lösung

\frac{d ^{7}}{d x ^{7}} ((2 x + 5)^{7})

645120

Schritte zur Lösung

\frac{d ^{7}}{d x ^{7}} ((2 x + 5)^{7})

\frac{d}{d x} ((2 x + 5)^{7}) = 14 (2 x + 5)^{6}

= \frac{d ^{6}}{d x ^{6}} (14 (2 x + 5)^{6})

\frac{d}{d x} (14 (2 x + 5)^{6}) = 168 (2 x + 5)^{5}

= \frac{d ^{5}}{d x ^{5}} (168 (2 x + 5)^{5})

\frac{d}{d x} (168 (2 x + 5)^{5}) = 1680 (2 x + 5)^{4}

= \frac{d ^{4}}{d x ^{4}} (1680 (2 x + 5)^{4})

\frac{d}{d x} (1680 (2 x + 5)^{4}) = 13440 (2 x + 5)^{3}

= \frac{d ^{3}}{d x ^{3}} (13440 (2 x + 5)^{3})

\frac{d}{d x} (13440 (2 x + 5)^{3}) = 80640 (2 x + 5)^{2}

= \frac{d ^{2}}{d x ^{2}} (80640 (2 x + 5)^{2})

\frac{d}{d x} (80640 (2 x + 5)^{2}) = 322560 (2 x + 5)

= \frac{d}{d x} (322560 (2 x + 5))

\frac{d}{d x} (322560 (2 x + 5)) = 645120

= 645120

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