(d^3)/(dx^3)(x^4-8x^3)

解

\frac{d ^{3}}{d x ^{3}} (x^{4} - 8 x^{3})

24 x - 48

解答ステップ

\frac{d ^{3}}{d x ^{3}} (x^{4} - 8 x^{3})

\frac{d}{d x} (x^{4} - 8 x^{3}) = 4 x^{3} - 24 x^{2}

= \frac{d ^{2}}{d x ^{2}} (4 x^{3} - 24 x^{2})

\frac{d}{d x} (4 x^{3} - 24 x^{2}) = 12 x^{2} - 48 x

= \frac{d}{d x} (12 x^{2} - 48 x)

\frac{d}{d x} (12 x^{2} - 48 x) = 24 x - 48

= 24 x - 48