If `f(x) = x^(a) log x and f(0) = 0 ` then the value of `alpha` for which Rolle's theorem can be applied in [0,1] is

If f(x)=log x and f(1)=0; show then f(x)=x(log x-1)+1

Find the value of c in Rolle's theorem for the function f (x) = cos 2x on [0,pi] is

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

Values of c of Rolle's theorem for f(x)=sin x-sin 2x on [0,pi]

" If "f(x)=x^((1)/(log x))" ,then set of all possible values of "x" for which "f'(x)=0" is "

Find the value of c in Rolles theorem for the function f(x)=x^(3)3x in[sqrt(3),0]

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

If f(x)={(x^(alpha)logx , x > 0),(0, x=0):} and Rolle's theorem is applicable to f(x) for x in [0, 1] then alpha may equal to (A) -2 (B) -1 (C) 0 (D) 1/2