展開する derivative of ((x^2+4^8)12(x^2+3)^4)+(11x^2+3)

解

展開する

\frac{d}{d x} (((x^{2} + 4)^{8}) 12 (x^{2} + 3)^{4}) + (11 x^{2} + 3)

\frac{d}{d x} (12 x^{24} + 528 x^{22} + 10632 x^{20} + 129552 x^{18} + 1063884 x^{16} + 6202752 x^{14} + 26326272 x^{12} + 81954816 x^{10} + 185714688 x^{8} + 298745856 x^{6} + 323813376 x^{4} + 212336640 x^{2} + 63700992) + 11 x^{2} + 3

解答ステップ

\frac{d}{d x} (((x^{2} + 4)^{8}) \cdot 12 (x^{2} + 3)^{4}) + (11 x^{2} + 3)

括弧を削除する:

(a) = a

= \frac{d}{d x} ((x^{2} + 4)^{8} \cdot 12 (x^{2} + 3)^{4}) + 11 x^{2} + 3

\frac{d}{d x} ((x^{2} + 4)^{8} \cdot 12 (x^{2} + 3)^{4}) = \frac{d}{d x} (12 x^{24} + 528 x^{22} + 10632 x^{20} + 129552 x^{18} + 1063884 x^{16} + 6202752 x^{14} + 26326272 x^{12} + 81954816 x^{10} + 185714688 x^{8} + 298745856 x^{6} + 323813376 x^{4} + 212336640 x^{2} + 63700992)

= \frac{d}{d x} (12 x^{24} + 528 x^{22} + 10632 x^{20} + 129552 x^{18} + 1063884 x^{16} + 6202752 x^{14} + 26326272 x^{12} + 81954816 x^{10} + 185714688 x^{8} + 298745856 x^{6} + 323813376 x^{4} + 212336640 x^{2} + 63700992) + 11 x^{2} + 3