Question
Question: f(x) = <img src="https://cdn.pureessence.tech/canvas_68.png?top_left_x=0&top_left_y=1421&width=140&h...
f(x) = 
. Then x = 0 will be a point of local maxima for f(x) if
A
a ∈ (-1, 1)
B
a ∈ (0, 1)
C
a ≤ 0
D
a ≥ 1
Answer
a ≥ 1
Explanation
Solution
Clearly f(x) is increasing before x = 0 and starts decreasing after x = 0. f(0) = a. For x = 0 to be the point of local maxima
f(0) ≥ 
⇒ a > 1