JEE Main 2019 Mathematics question
If the function f given by , for some a ∈ R is increasing in (0, 1] and decreasing in [1, 5), then a root of the equation, (x ≠ 1) is:
Answer: (C)
Solution
f′(1) = 0 ⇒ a = 5; f(x) − 14 = .
If the function f given by , for some a ∈ R is increasing in (0, 1] and decreasing in [1, 5), then a root of the equation, (x ≠ 1) is:
f′(1) = 0 ⇒ a = 5; f(x) − 14 = .