" Hix) "f(x)=2sin x+sin2x" अन्तराल "[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]

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

Verify Rolle's theorem for each of the following functions : f(x) = sin x - sin 2x " in " [0, 2pi]

Verify Lagrange's Mean Value Theorem for the following function: f(x)=2sin x+sin2x on [0,pi] .

The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin 2x "in" [0,pi] is

Discuss the Lagrangel's mean value theorem for the function f(x)=sin x-sin2x, in [0,pi].

Verify Rolles theorem for the function: f(x)=sin x-sin2x on [0,pi]

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]

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