Statement 1: `f(x)=x+cosx` is increasing `AAx in Rdot` Statement 2: If `f(x)` is increasing, then `f^(prime)(x)` may vanish at some finite number of points.

f(x)=|x| is increasing in

f(x) = (2x)/(log x) is increasing in

f(x) = x^(2) e^(-x) is increasing in

f(x)=x^(2)(x-8) is increasing in

f(x) = [x (x -3)]^(2) is increasing in

f(x)=(x)/((x^(2)+1)) is increasing in

Statement 1: The function f(x)=x In x is increasing in ((1)/(e),oo) Statement 2: If both f(x) and g(x) are increasing in (a,b), then f(x)g(x) must be increasing in (a,b).

Statement 1: If f(x) is an odd function,then f'(x) is an even function.Statement 2: If f'(x) is an even function,then f(x) is an odd function.

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

Statement 1: For f(x)=sin x,f'(pi)=f'(3 pi). Statement 2: For f(x)=sin x,f(pi)=f(3 pi)