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

Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a,b], where a=1 and b=3. Find all c in (1, 3) for which f'(c )=0 .

Verify Mean Value Theorem for the function f(x)= x^(2) in the interval [2, 4].

Verify Rolle's theorem for f(x)=x^3(x-1)^2 in the interval 0lexle1

Verify Rolle's theorem for function f(x) = 4^(sinx) in the interval [0,pi] .

Verify Rolle's theorem for the functions f(x)=x^(3)-4x in the interval -2 le x le 2

Verify Rolle's theorem for the function f(x)=4^(sinx) in the interval [0,pi] .

Examine the applicability of lagrange's Mean value theorem for the function f(x) = x^2 + 2 in the interval [2,4]

Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3 .

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

Verify the truth of Lagrange's mean value theorem formula for the following functions : f(x)=x^(2)-4x-3 in the interval 0 le x le 4 .