[" Yrolle's mean value theorem for the following function: "],[[" (ii) "f(x)=e^(x)sin x;,x in[0,pi]]]

Verify Rolle's theorem for the following function f(x)=e^(-x) sin x in [0,pi]

Vertify mean value theorem for the following functions: f(x)= x- 2 sin x, x in [-pi, pi]

Vertify mean value theorem for the following functions: f(x) = tan^(-1)x, x in [0, 1]

Verify Langrange's mean value theorem for the following functions : f(x)=e^(x)" in "[0, 1]

Verify Rolle's theorem for the following functions: f(x)= a^(sin x), x in [0, pi], a gt 0

Verify Lagrange's mean value theorem for the following functions: f(x) = 2x - x^2 , x in [0,1]

Check the validity of the Rolle's theorem for the following functions: f(x) = e^(-x) sin x , x in [0, pi]

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