" 2.If "f(x)=x^(2)-1" in interval "[-1,1]," then find "C" by Rolle's theorem "

If the function f(x) is defined by f(x)=(x(x+1))/(e^(x)) in [-1, 1], then the values of c in Rolle's theorem is -

If the Rolle's theorem holds for the function f(x) = 2x^(3)+ax^(2)+bx in the interval [-1,1]for the point c= 1/2 ,then the value of 2a+b is :

If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) + bx in the interval [-1,1] for the point c =1/2 , then the value of 2a + b is

If Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) + bx in the interval [-1,1] for the point c= (1)/(2) , then the value of 2a +b is

If Rolle's theorem holds for the function f(x)=2x^(3)+bx^(2)+cx On the interval [-1,1] at the point K=(1)/(2) then the value of 9b-(c)/(47)= ............

Find the value of c in the interval ((1)/(2),2) satisfied by the Roll's theorem for the function. f(x)=x+(1)/(x), x in [(1)/(2),2]

If the Rolle's theorem is applicable to the function f defined by f(x)={{:(ax^(2)+b",", xle1),(1",", x=1),((c)/(|x|)",",xgt1):} in the interval [-3, 3] , then which of the following alternative(s) is/are correct?

If the Rolle's theorem is applicable to the function f defined by f(x)={{:(ax^(2)+b",", xle1),(1",", x=1),((c)/(|x|)",",xgt1):} in the interval [-3, 3] , then which of the following alternative(s) is/are correct?

Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rolle's theorem is applicable for f(x) on largest possible interval [a, b] then the value of 2(a+b+c) when c in [a, b] such that f'(c) = 0, is