展開する (d^2)/(dx^2)(4x(x^2+9)*(x-9))+(x^2+9)^2

解

展開する

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

\frac{d ^{2}}{d x ^{2}} (4 x^{4} - 36 x^{3} + 36 x^{2} - 324 x) + x^{4} + 18 x^{2} + 81

解答ステップ

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

拡張

4 x (x^{2} + 9) (x - 9) : 4 x^{4} - 36 x^{3} + 36 x^{2} - 324 x

= \frac{d ^{2}}{d x ^{2}} (4 x^{4} - 36 x^{3} + 36 x^{2} - 324 x) + (x^{2} + 9)^{2}

(x^{2} + 9)^{2} : x^{4} + 18 x^{2} + 81

= \frac{d ^{2}}{d x ^{2}} (4 x^{4} - 36 x^{3} + 36 x^{2} - 324 x) + x^{4} + 18 x^{2} + 81