If the function `f(x)=e^(|x|)` follows Mean Value Theorem in the range [-1,1] ,find the value of c.

If mean value theorem holds good for the function f(x)=(x-1)/(x) on the interval [1,3] then the value of 'c' is 2 (b) (1)/(sqrt(3))( c) (2)/(sqrt(3))(d)sqrt(3)

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=x+1/x" on "[1,3]

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=ax^(2)+ex+e" on "[0,1]

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=x" on "[a,b]

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=ax^(2)+bx+c" on "[0,1]

For the function f(x)=e^x,a=0,b=1 , the value of c in mean value theorem will be

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

Verify Lagrange's Mean Value Theorem for the functions : f(x) = |x| in the interval [-1, 1].

Verify Lagrange's Mean Value Theorem for the functions : f(x)=1/x in the interval [-1, 2]