Find the value of c, of mean value theorem.when
(a) `f(x) = sqrt(x^(2)-4)`, in the interval [2,4]
(b) `f(x) = 2x^(2) + 3x+ 4` in the interval [1,2]
( c) `f(x) = x(x-1)` in the interval [1,2].

Using Lagrange's theorem , find the value of c for the following functions : (i) x^(3) - 3x^(2) + 2x in the interval [0,1/2]. (ii) f(x) = 2x^(2) - 10x + 1 in the interval [2,7]. (iii) f(x) = (x-4) (x-6) in the interval [4,10]. (iv) f(x) = sqrt(x-1) in the interval [1,3]. (v) f(x) = 2x^(2) + 3x + 4 in the interval [1,2].

Find the value of c in Mean Value theorem for the function f(x)=(2x+3)/(3x-2) in the interval [1,5] .

Verify the mean value theorem for the function f(x)=x^(2) in the interval [2,4]

Verify mean value theorem for the function f(x)=x^(2)+4x-3 in the interval [-2,2]

Verify Lagrange's Mean Value Theorem for the functions : f(x)=sqrt(x^(2)-4) in the interval [2, 4].

Verify Lagrange's Mean value theorem for the function f(x) = x^(2) -1 in the interval [3,5].

The value of c in Lagrangel's mean value theorem for the function f(x)=|x| in the interval [-1,1] is

The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [1//2,3] is

Find c of Lagranges mean value theorem for the function f(x)=3x^(2)+5x+7 in the interval [1,3].