(d^3)/(dt^3)((s)((3+2t)^3))

解答

\frac{d ^{3}}{d t ^{3}} ((s) ((3 + 2 t)^{3}))

48 s

求解步骤

\frac{d ^{3}}{d t ^{3}} ((s) ((3 + 2 t)^{3}))

\frac{d}{d t} (s (3 + 2 t)^{3}) = 6 s (3 + 2 t)^{2}

= \frac{d ^{2}}{d t ^{2}} (6 s (3 + 2 t)^{2})

\frac{d}{d t} (6 s (3 + 2 t)^{2}) = 24 s (3 + 2 t)

= \frac{d}{d t} (24 s (3 + 2 t))

\frac{d}{d t} (24 s (3 + 2 t)) = 48 s

= 48 s

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