Use the mean value theorem to prove `e^xgeq1+xAAx in R`

Cauchys mean value theorem

Using Lagrange's mean value theorem prove that if b gt a gt 0 "then " (b-a)/(1+b^(2)) lt tan^(-1) b -tan^(-1) a lt (b-a)/(1+a^(2))

Using mean value theorem,prove that tan x>x for all x(0,(pi)/(2))

Using intermediate value theorem,prove that there exists a number x such that x^(2005)+(1)/(1+sin^(2)x)=2005

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

A value of c for which the conclusion of mean value theorem holds for the function f(x) = log_(e) x on the interval [1, 3] is:

The value of c in Lagrangel's mean value theorem for the function f(x)=|x| in the interval [-1,1] is

Find 'c' of the mean value theorem, if: f(x) = x(x-1) (x-2), a=0, b=1//2

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

A value of c for which the conclusion of Mean value theorem holds for the function f(x) = log_(e)x on the interval [1, 3] is