Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the intervals of monotonicity for the following functions.
(i) 
– 3x 2 + 5
(ii) 
x + log 3 x
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) Let f(x) = 
– 3x 2 + 5
f ′ (x) = x(x + 3) (x – 2)
M.D. in ( – ∞ , – 3]
M.I. in [ – 3 , 0]
M.D. in [0 , 2]
M.I. in [2 , ∞ )
(ii) Let f(x) = (log 3 x) 2 + log 3 x
= 
f ′ (x) = 
M.D. in 
M.I. in 
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