" (i) "f(x)=sin2x" अन्तराल "[0,(pi)/(2)]

Verify Rolle's theorem for each of the following functions on indicated intervals; f(x)=sin^(2)x on 0<=x<=pi f(x)=sin x+cos x-1 on [0,(pi)/(2)]f(x)=sin x-sin2x on [0,pi]

The difference between the greatest and the least values of the function f(x)=sin2x-x on [-(pi)/(2),(pi)/(2)]

Statement 1: Let f(x)=sin(cos x) in [0,(pi)/(2)]* Then f(x) is decreasing in [0,(pi)/(2)] Statement 2:cos x is a decreasing function AA x in[0,(pi)/(2)]

f(x) = sinx - sin2x in [0,pi]

Verify Rolle's theorem for each of the following functions: (i) f(x) = sin 2x " in " [0, (pi)/(2)] (ii) f(x) = (sin x + cos x) " in " [0, (pi)/(2)] (iii) f(x) = cos 2 (x - (pi)/(4)) " in " [0, (pi)/(2)] (iv) f(x) = (sin x - sin 2x) " in " [0, pi]

Maximum value of f(x)=x+sin2x,x in [0,2pi] is

Verify Rolles theorem for function f(x)=2sin x+sin2x on [0,pi]

Find the maximum and minimum values of the function f(x) = x+sin2x on [0,2pi] .