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Question

Mathematics Question on Increasing and Decreasing Functions

The function f(x)=sinx+cosx,0x2πf(x)=sinx+cosx,0\leq x\leq 2\pi is :

A

strictly decreasing in [0,π4][0,\frac{\pi}{4}]

B

strictly Increasing in [π4,5π4][\frac{\pi}{4},\frac{5\pi}{4}]

C

strictly decreasing in [5π4,2π][\frac{5\pi}{4},2\pi]

D

strictly increasing in [5π4,2π][\frac{5\pi}{4},2\pi]

Answer

strictly increasing in [5π4,2π][\frac{5\pi}{4},2\pi]

Explanation

Solution

The correct option is (D): strictly increasing in [5π4,2π][\frac{5\pi}{4},2\pi]