`f(x) = e^(sinx+cosx)` is an increasing function in

The function f(x)=(sinx+cosx) is an increasing function in

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in :

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

The function f(x) =tan^(-1)(sinx+cosx) is an increasing function in

The function f(x)=Tan^(-1) (sinx+cosx) is an increasing function in

Show that f(x)=tan^(-1)(sinx+cosx) is an increasing function on the interval (0,\ pi//4) .

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

Show that the function f given by f(x) = tan^-1(sinx+cosx), x>0 is always an increasing function in f, (0,pi/4)