展开 derivative of (x-2(x-10)^3)+11

解答

展开

\frac{d}{d x} ((x - 2) (x - 10)^{3}) + 11

\frac{d}{d x} (x^{4} - 32 x^{3} + 360 x^{2} - 1600 x + 2000) + 11

求解步骤

\frac{d}{d x} ((x - 2) (x - 10)^{3}) + 11

\frac{d}{d x} ((x - 2) (x - 10)^{3}) = \frac{d}{d x} (x^{4} - 32 x^{3} + 360 x^{2} - 1600 x + 2000)

= \frac{d}{d x} (x^{4} - 32 x^{3} + 360 x^{2} - 1600 x + 2000) + 11

e x p an d y^{''} (x) + (1 + x) y

e x p an d \frac{\frac{1}{( 2 x + 2 h )} - \frac{1}{( 2 x )}}{h}

e x p an d, (270 + 905) c m^{3}

e x p an d 1000 (1 + \frac{i}{12})^{12}

e x p an d ln (x) (\frac{x ^{3}}{3} + 3 x) - \frac{1}{3} (\frac{x ^{3}}{3} + 9 x) + c