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Question

Mathematics Question on Relations and functions

Let f(x) = cosx - x + 1, x ∈ [0,π], then

A

f(x) is increasing in (0,π)

B

f (x) is decreasing in (0, π)

C

f(x) is increasing in (0, π/2)and decreasing in (π / 2, π)

D

f(x) is decreasing in (0, π/2) and increasing in (π / 2, π)

Answer

f (x) is decreasing in (0, π)

Explanation

Solution

The Correct answer is option is (B) : f (x) is decreasing in (0, π)