(d^2)/(dx^2)((6x^2+8)^6)

解

\frac{d ^{2}}{d x ^{2}} ((6 x^{2} + 8)^{6})

72 ((6 x^{2} + 8)^{5} + 60 x^{2} (6 x^{2} + 8)^{4})

解答ステップ

\frac{d ^{2}}{d x ^{2}} ((6 x^{2} + 8)^{6})

\frac{d}{d x} ((6 x^{2} + 8)^{6}) = 72 x (6 x^{2} + 8)^{5}

= \frac{d}{d x} (72 x (6 x^{2} + 8)^{5})

\frac{d}{d x} (72 x (6 x^{2} + 8)^{5}) = 72 ((6 x^{2} + 8)^{5} + 60 x^{2} (6 x^{2} + 8)^{4})

= 72 ((6 x^{2} + 8)^{5} + 60 x^{2} (6 x^{2} + 8)^{4})