(d^2)/(dx^2)((4x^2+9)^6)

解

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 9)^{6})

48 ((4 x^{2} + 9)^{5} + 40 x^{2} (4 x^{2} + 9)^{4})

解答ステップ

\frac{d ^{2}}{d x ^{2}} ((4 x^{2} + 9)^{6})

\frac{d}{d x} ((4 x^{2} + 9)^{6}) = 48 x (4 x^{2} + 9)^{5}

= \frac{d}{d x} (48 x (4 x^{2} + 9)^{5})

\frac{d}{d x} (48 x (4 x^{2} + 9)^{5}) = 48 ((4 x^{2} + 9)^{5} + 40 x^{2} (4 x^{2} + 9)^{4})

= 48 ((4 x^{2} + 9)^{5} + 40 x^{2} (4 x^{2} + 9)^{4})