The function f(x)=x(x+3)e^-(1/2)x satisfies all the condition of of rolles theoram in [-3,0].The value of c is

hi,

If a real-valued function ƒ is continuous on a closed interval [a, b], differentiable on the open interval (a, b), and ƒ(a) = ƒ(b), then there exists a c in the open interval (a, b) such that

so differentiating given f(x) with respect to x, we get

after solving this eqn in x ,u will get

x=3, x = -2

since for validation of rolles theorem this value of x shud lie in the given interval

c = -2..................