Let `f (x- = tan ^(-1) ((1-x)/(1+x)).` Then difference of the greatest and least value of `f (x)` on`[0,1]` is:

Let tan^(-1)"(1-x)/(1+x) Stament-1: The difference of the greatest and smaallest values of f(x)" on "[0,1] is f(0)-f(1)=pi//4 Statement-2 : g(x)=tan^(-1)x is an increasing functions on [0,oo]

The difference between the greatest and least values of f(x)=int_(0)^(x)(t+1)dt on [2,3] is

The difference between the greatest and least values of f(x)=int_(0)^(x)(l+1)dt on [2,3] is

The greatest value of f(x)=(x+1)^(1//3) on [0,1] is

The difference between the greatest and least value of the function f(x)=cosx+1/2cos2x-1/3cos3x is

The difference between the greatest and least value of the function f(x)=cosx+1/2cos2x-1/3cos3x is

The difference between the greatest and least value of function f(x)=cos x+(1)/(2)cos2x-(1)/(3)cos3x is

The difference between the greatest and least values of the function f(x)=cosx+1/2cos2x-1/3cos3x , is

Difference between the greatest and the least values of the function f(x)=x(In x-2) on [1,e^(2)] is

Let f (x) = x + sqrtx . Find the greatest and least value of f(x) for x in (0 , 4) .