For the function defined for all real

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For the function f(x)=x+1x2+1f(x)=\dfrac{x+1}{x^{2}+1} defined for all real xx, on which interval is ff increasing? (a) (−2, 2)(-\sqrt{2},\,\sqrt{2}) (b) (−1−2,−1+2)(-1-\sqrt{2},-1+\sqrt{2}) (c) (−∞,−1−2)∪(−1+2,∞)(-\infty,-1-\sqrt{2})\cup(-1+\sqrt{2},\infty) (d) (−1+2,∞)(-1+\sqrt{2},\infty)

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