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$The function y = \frac{x}{1 + x^{2}} decreases in the interval$

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(−1, 1)

[ 1, ∞)

( − ∞, −1]

( − ∞, ∞)

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detailed solution

Correct option is A

y=x1+x2 dydx=1+x2-2x21+x22=1-x21+x22 for decreasing 1-x2<0⇒x∈(-1,-1)

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The function y=x1+x2 decreases in the interval

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$The function y = \frac{x}{1 + x^{2}} decreases in the interval$