CBSE Class 12 Maths Application of Derivatives Quiz 5

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

A always increasing B always decreasing C increasing for certain range of x D None of these

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

A cosec x B tan x C x² D |x – 1|

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

A x < 1 B x > 0 C x < \(\frac{1}{2}\) D x > \(\frac{1}{2}\)

4. The interval in which the function y = x³ + 5x² – 1 is decreasing, is

A (0, \(\frac{1}{3}\)) B (0, 10) C (\(\frac{-10}{3}\), 0) D None of these