展开-derivative of (x-a/((x-a)^2+b^2))

解答

展开

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

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

求解步骤

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

乘开

(x - a)^{2} + b^{2} : x^{2} - 2 x a + a^{2} + b^{2}

= - \frac{d}{d x} (\frac{x - a}{x ^{2} - 2 a x + a ^{2} + b ^{2}})

s im pl i f y \frac{1}{( x - 2 i ) ^{2}} + \frac{1}{( x + 2 i ) ^{2}}

s im pl i f y x y (\frac{40 x ^{2} y + 15 x ^{2} + 12 y - 10}{60} + 1)

e x p an d \frac{( x ^{3} + 2 a ) ^{6}}{64 x ^{6}}

s im pl i f y (a - j) (a + j)

e x p an d \frac{x ^{3} + 2 x ^{2} + 10 x + 18}{( x ^{2} + 9 ) ( x ^{2} + 1 ) ( x + 1 )}