The function f(x) = 1 + x sin x\[cos x], 0 < x £p/2, \[×] =... | MATH - INCREASING AND DECREASING FUNCTION | SolveeIt | Solveeit

Today, August 23

Question

The function f(x) = 1 + x sin x[cos x], 0 < x £p/2, [×] = G.I.F.

A

Is continuous on (0, p/2)

B

Is strictly decreasing in (0, p/2)

C

Is strictly increasing in (0, p/2)

D

Has global maximum value 2

Answer

Is continuous on (0, p/2)

Explanation

Solution

0 < x £ $\frac{\pi}{2}$ , 0 £ cosx < 1, [cos x] = 0

f(x) = 1 + x sin x[cos x], f(x) = 1

constant function continuous