Show that f(x) = 1/(1 + x2) is increasing for all x ≤ 0. – InterviewSolution

1.

Show that f(x) = 1/(1 + x2) is increasing for all x ≤ 0.

Answer»

It is given that

f(x) = 1/(1 + x²)

By differentiating w.r.t. x

f’(x) = –2x/(1 + x²)² ≤ 0

Therefore, f(x) is increasing function for all x ≤ 0.

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