" v) "f(x)=(x^(2)-4x+3)e^(2x)" Interval "[1,3]

f(x)=(x-2)(x-3)(x-4) interval [2,4]

Find the maximum and minimum values of f(x)=2x^(3)-24x+107 in the interval [1,3]

Verify Rolle's theorem for the function f(x)=x^(2)-4x-3 , in the interval [1,4].

Verify, MVT, if f(x)=x^(2)-4x-3 in the interval [a,b], where a =1 and b=4.

verify mean value therem for the function f(x) = x^2 -4x -3 in the interval [1,4]

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, 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].

Verify mean value theorem for the function f(x)=x^2-4x-3 in the interval [1,4] .

Verify Mean Value Theorem if f(x)= x^(3) - 5x^(2) - 3x in the interval [1,3] .