Cauchys mean value theorem

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

In [0,1] Largrange's mean value theorem is not application to

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

Using Lagranges mean value theorem,show that sin(:x for x:)0.

Using Lagranges mean value theorem,prove that |cos a-cos b|<=|a-b|

If f(x)=x^(3)+7x-1, then f(x) has a zero between x=0 and x=1. The theorem that best describes this is mean value theorem maximum-minimum value theorem intermediate value theorem none of these

The value of c in Largrange's mean value theorem for the function f(x)=x(x-2) when x in [1,2] is

Find the value of c in Lagrange's mean value theorem for the function f (x) = log _(e) x on [1,2].