Show that f(x) = (x - 1/x) is increasing all x ∈ R, where x ≠ 0. – InterviewSolution

1.

Show that f(x) = (x - 1/x) is increasing all x ∈ R, where x ≠ 0.

Answer»

f(x) = (x - 1/x)

domain of function is R - {0}

f'(x) = (1+1/x²)

f’(x) ∀ x ∈ R is greater than 0.

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