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

Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=2x^(2)-1 in the interval [1, 2]

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

Verify Lagrange's mean theorem for the function f(x) =x^(2) + x-1 in the interval [0,4]

Examine the validity of Lagrangel's mean value theorem for the function f(x)=x^(2/3) in the interval [-1,1] .

Examine the validity of Lagrangel's mean value theorem for the function f(x)=x^(2/3) in the interval [-1,1] .

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

Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=e^(x) in the interval [0, 1]

Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=logx in the interval [1, e]

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

The value of c in Lagrange's mean value theorem for the function f(x)=log_ex in the interval [1,3] is