(d^2)/(dx^2)((x^2+3)^7)

解

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 3)^{7})

14 ((x^{2} + 3)^{6} + 12 x^{2} (x^{2} + 3)^{5})

解答ステップ

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 3)^{7})

\frac{d}{d x} ((x^{2} + 3)^{7}) = 14 x (x^{2} + 3)^{6}

= \frac{d}{d x} (14 x (x^{2} + 3)^{6})

\frac{d}{d x} (14 x (x^{2} + 3)^{6}) = 14 ((x^{2} + 3)^{6} + 12 x^{2} (x^{2} + 3)^{5})

= 14 ((x^{2} + 3)^{6} + 12 x^{2} (x^{2} + 3)^{5})