JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

[0,1], f

is twice differentiable and

f^{\prime \prime}(x)<0

. Let

\phi(x)=f(x)+f(1-x)

for

x \in[0,1]

. Then

View answer and explanation

Correct option: D

\phi

decreases on

[1 / 2,1]

Option D is correct because the derivative of φ(x) is negative in the interval [1/2, 1], indicating a decreasing function.

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