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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f(x) = ⁻¹ ( 2g(x) 1 + g(x)^2 ) , then which are correct ? (i) f(x) is decreasing if g(x) is increasing and |g(x)| > 1 (ii) f(x) is an increasing function if g(x) is increasing and |g(x)| 1 (iii) f(x) is decreasing function if g(x) is decreasing and |g(x)| > 1

Options

  1. A(i) and (iii)
  2. B(i) and (ii)
  3. C(i), (ii) and (iii)
  4. D(iii)

Correct answer

B. (i) and (ii)

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