Consider the function

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

Problem

Consider the function f(x)=x2x2−1f(x)=\frac{x^2}{x^2-1}. The interval in which ff is increasing is (1) (−1,1)(-1,1) (2) (−∞,−1)∪(−1,0)(-\infty,-1)\cup(-1,0) (3) (−∞,∞)∖{−1,1}(-\infty,\infty)\setminus\{-1,1\} (4) (0,1)∪(1,∞)(0,1)\cup(1,\infty)

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