The interval in which the function y = x³ + 5x² – 1 is decreasing, is
  • (0, \(\frac{1}{3}\))
  • (0, 10)
  • (\(\frac{-10}{3}\), 0)
  • None of these
If f (x) = \(\frac{x}{\sin x}\) and g (x) = \(\frac{x}{\tan x}\), 0 < x ≤ 1, then in the interval
  • both f (x) and g (x) are increasing functions
  • both f (x) and g (x) are decreasing functions
  • f(x) is an increasing function
  • g (x) is an increasing function
The function f(x) = \(\frac{x}{\log x}\) increases on the interval
  • (0, ∞)
  • (0, e)
  • (e, ∞)
  • None of these
Function, f (x) = \(\frac{λ \sin x+ 6 \cos x}{2 \sin x + 3 \cos x}\) is monotonic increasing, if
  • λ > 1
  • λ < 1
  • λ < 4
  • λ > 4
0 h : 0 m : 1 s

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