What is simplify-2x(x^2+1)^{-2} ?

The solution to simplify-2x(x^2+1)^{-2} is -(2x)/((x^2+1)^2)

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simplify-2x(x^2+1)^{-2}

simplify

- 2 x (x^{2} + 1)^{- 2}

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

Solution steps

- 2 x (x^{2} + 1)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply the numbers:

2 \cdot 1 = 2

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

x - 2^{- x}

\frac{u}{u + \frac{c}{u}}

\int (sin (x + y)) d x

(2 x^{4} - 1) (5 x^{3} + 6 x)

\frac{5}{x}

What is simplify-2x(x^2+1)^{-2} ?
The solution to simplify-2x(x^2+1)^{-2} is -(2x)/((x^2+1)^2)