Cauchys mean value theorem

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State Cauchy's mean value theorem.

The constant c of cauchy's mean value theorem for the functions f(x) =sqrtx,g(x)=1//sqrtx in [1,2] is

The constant c of Cauchy's mean value theorem for f(x) =x^2,g(x)=x^3 "in" [1,2] is

The constant c of Cauchy's mean value theorem for f(x) =e^x,g(x)=e^(-x) "in" [a,b] is

The constant c of Cauchy's mean value theorem for f(x)=sqrtx,g(x)=1//sqrtx "in" [a,b] where 0lt alt b is

Roots theory with illustration || Cauchy Mean Value Theorem || Equation based question

Verify Cauchy's mean value for the functions f(x)=sinx, g(x)=cosx in [0,(pi)/(2)]

State Lagrange's mean value theorem.

In [0,1], Lagrange's mean value theorem is not applicable to