If the function `f(x)=logx, x in [1, e]`, satisfies all the conditions of LMVT, then the value of c is

If the function f(x) =log x, x in (1, e) , satisfies all the conditions of LMVT, then the value of c is..... A) 1 B) e C) 1/e D) e-1

The function f(x) = x(x+3)e^(-x/2) satisfies all the conditions of Rolle's theorem in [-3,0]. The value of c is

If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions of Rolle's theorem in -(1)/(4) le x le 1 and if f'((1)/(2))=0 , then the values of a and b are -

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

If the function f(x)=2x^(2)+3x+5 satisfies LMVT at x=2 on the closed interval [1,a] then the value of 'a' is equal to

The function f(x) = x(x+3) e^(-x/2) satisfies all the conditions of Rolle's theorem on (-3,0) . Find the value of c such that f'(c) = 0