[" 14"f(x)=e^(x)sin x" in "[0,pi]" ,then "c" in Rolle's "],[" theosien is "]

If f(x)=e^(x) sin x, x in [0, pi] , then

If f(x)=sin x/ e^(x) in [0,pi] then f(x)

If f(x) = 4^(sin x) satisfies the Rolle's theorem on [0, pi] , then the value of c in (0, pi) for which f'(c ) = 0 is

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]

Rolle's Theorem for f (x) =sin^4x+cos^4x in [0,(pi)/2] is verified , then find c.

If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)/4,(5pi)/4] then the value of C is

If rolle's theorem for f(x) =e^(x) (sin x-cos x) is verified on [(pi)/(4),5(pi)/(4)] , then the value of c is

Consider the function f(x)=e^(-2x)sin2x over the interval (0,pi/2) . A real number c in(0,pi/2) , as guaranteed by Rolle's theorem such that f'(c)=0, is

Consider the function f(x)=e^(-2x)sin2x over the interval (0,pi/2) . A real number c in(0,pi/2) , as guaranteed by Rolle's theorem such that f'(c)=0, is