What is (d^5)/(dx^5)((2x+5)^7) ?

The answer to (d^5)/(dx^5)((2x+5)^7) is 80640(2x+5)^2

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

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

80640 (2 x + 5)^{2}

Solution steps

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

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

= \frac{d ^{4}}{d x ^{4}} (14 (2 x + 5)^{6})

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

= \frac{d ^{3}}{d x ^{3}} (168 (2 x + 5)^{5})

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

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

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

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

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

= 80640 (2 x + 5)^{2}

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What is (d^5)/(dx^5)((2x+5)^7) ?
The answer to (d^5)/(dx^5)((2x+5)^7) is 80640(2x+5)^2