(d^6)/(dx^6)((2x+5)^7)

解答

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

322560 (2 x + 5)

求解步骤

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

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

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

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

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

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

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

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

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

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

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

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

= 322560 (2 x + 5)

\frac{\partial ^{2}}{\partial x ^{2}} (x^{3} + 3 x y^{2})

in v erse l a pl a ce \frac{1}{( s - 3 ) ^{3}}

\frac{d v}{d t} = - k t v^{2}

d er i v a t i v e f (x) = 15 x ln (8 x)

\frac{\partial}{\partial x} (- 6 + 5 - 6 x)