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

Today, August 20

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

Q 0 < x £ p/2 ̃ [cos x] = 0

\ f(x) = 1 + x sin x (0) ̃ f(x) = 1 ® constant