What is expand (derivative of-x^2+1)/((x^2+1)^2) ?

The solution to expand (derivative of-x^2+1)/((x^2+1)^2) is (derivative of-x^2+1)/(x^4+2x^2+1)

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expand (derivative of-x^2+1)/((x^2+1)^2)

expand

\frac{\frac{d}{d x} ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

\frac{\frac{d}{d x} ( - x ^{2} + 1 )}{x ^{4} + 2 x ^{2} + 1}

Solution steps

\frac{\frac{d}{d x} ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

= \frac{\frac{d}{d x} ( - x ^{2} + 1 )}{x ^{4} + 2 x ^{2} + 1}

10 (1 + 499 e^{- 1.78 t})

cot (4 x) (sin (x) + sin (4 x) + sin (7 x))

(x^{2} + 2 x y + y^{2}) (sin (x + y))

e^{\frac{b}{( m + b y ) ( - b y - m )}}

\frac{x ^{3} + 2 x ^{2} + x + 4}{( x + 1 ) ^{2}}

What is expand (derivative of-x^2+1)/((x^2+1)^2) ?
The solution to expand (derivative of-x^2+1)/((x^2+1)^2) is (derivative of-x^2+1)/(x^4+2x^2+1)