展开 (derivative of 2)/((x^2+2x-2)^9)

解答

展开

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

\frac{\frac{d}{d x} ( 2 )}{x ^{18} + 18 x ^{17} + 126 x ^{16} + 384 x ^{15} + 144 x ^{14} - 2016 x ^{13} - 3360 x ^{12} + 4608 x ^{11} + 12384 x ^{10} - 8512 x ^{9} - 24768 x ^{8} + 18432 x ^{7} + 26880 x ^{6} - 32256 x ^{5} - 4608 x ^{4} + 24576 x ^{3} - 16128 x ^{2} + 4608 x - 512}

求解步骤

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

(x^{2} + 2 x - 2)^{9} = x^{18} + 18 x^{17} + 126 x^{16} + 384 x^{15} + 144 x^{14} - 2016 x^{13} - 3360 x^{12} + 4608 x^{11} + 12384 x^{10} - 8512 x^{9} - 24768 x^{8} + 18432 x^{7} + 26880 x^{6} - 32256 x^{5} - 4608 x^{4} + 24576 x^{3} - 16128 x^{2} + 4608 x - 512

= \frac{\frac{d}{d x} ( 2 )}{x ^{18} + 18 x ^{17} + 126 x ^{16} + 384 x ^{15} + 144 x ^{14} - 2016 x ^{13} - 3360 x ^{12} + 4608 x ^{11} + 12384 x ^{10} - 8512 x ^{9} - 24768 x ^{8} + 18432 x ^{7} + 26880 x ^{6} - 32256 x ^{5} - 4608 x ^{4} + 24576 x ^{3} - 16128 x ^{2} + 4608 x - 512}

e x p an d \frac{3 ^{(n + 1) \cdot (n + 2)} + 65}{72}

\frac{d}{d t} ((s) (\frac{1}{9 π} cos (9 t) - \frac{1}{3 π} sin (3 t)))

e x p an d \frac{9 x ^{2} + 4}{5 ( 3 x ^{3} + 4 x ) ^{\frac{4}{5}}}

e x p an d \frac{x ( x + y + z )}{z ( x - y + z )}

e x p an d (\frac{63}{32})^{2}