Let f :[0,2] \to {R} be a twice differentiable function such that f’’(x) > 0, for all x \in (0,2) . If \ϕ(x)=f(x)+f(2-x) , then ϕ is: [8 Apr 2019 Shift 1]

Correct Answer is : Decreasing on (0, 1) and increasing on (1, 2)

Increasing on (0, 1) and decreasing on (1, 2)

Decreasing on (0, 1) and increasing on (1, 2)

Application of Derivatives Part 1

Section: Mathematics

Question : 38 of 100

Marks: +1, -0

Let f:[0,2]→R be a twice differentiable function such that f’’(x)>0, for all x∈(0,2). If ϕ(x)=f(x)+f(2−x) , then ϕ is:

[8 Apr 2019 Shift 1]

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