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

Today, August 18

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 increasing in (0, p/2)

C

Is strictly decreasing in (0, p/2)

D

Has global maximum value 2

Answer

Is continuous on (0, p/2)

Explanation

Solution

for 0 < x £ p/2, [cos x] = 0

\ f(x) = 1 " x Î (0, p/2]

f(x) is continuous on (0, p/2)

f(x) is neither strictly increasing nor strictly decreasing. Global max of f(x) is 1.