CBSE  /  Class 12  /  Maths  /  Application of Derivatives

  • 1. 
    The function f(x) = x + cos x is

  • always increasing
  • always decreasing
  • increasing for certain range of x
  • None of these

  • 2. 
    The function which is neither decreasing nor increasing in (\(\frac{π}{2}\), \(\frac{3π}{2}\)) is

  • cosec x
  • tan x
  • x²
  • |x – 1|

  • 3. 
    The function /’defined by f(x) = 4 – 2x + 1 is increasing for

  • x < 1
  • x > 0
  • x < \(\frac{1}{2}\)
  • x > \(\frac{1}{2}\)

  • 4. 
    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
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