The function `f(x)=x^(3)-3x^(2)+3x-100` ,for all real values of x is
O increasing
O decreasing
O increasing & decreasing
O Neither increasing nor decreasing

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

The function f(x)=(x)/(1+|x|) is (a) strictly increasing (b) strictly decreasing (c) neither increasing nor decreasing (d) none of these

Show that f(x)=cos x is decreasing function on (0,pi), increasing in (-pi,0) and neither increasing nor decreasing in (-pi,pi) .

Show that f(x)=cos x is a decreasing function on (0,pi), increasing in (pi,0) and neither increasing nor decreasing in (pi,pi) .

Let h(x)=f(x)-(f(x))^(2)+(f(x))^(3) for every real number x. Then h is increasing whenever f is increasing h is increasing whenever f is decreasing h is decreasing whenever f is decreasing h is decreasing whenever f is decreasing nothing can be said in general

Prove that the function given by f(x)=cos xf(x)=cos x is (a) strictly decreasing in (0,pi) (b) strictly increasing in and (c) neither increasing nor decreasing in and (c) neither increasing nor decreasing in (0,2 pi)

Test whether the function f(x)= x^(3) + 6x^(2) + 12x-5 is increasing or decreasing for all x in R .

The function y=(2x^(2)-1)/(x^(4)) is neither increasing nor decreasing.

the function f(x)=x^2-x+1 is increasing and decreasing

At x=-1 ,the function f(x)=2x^(3)-3x^(2)-12x+12 is O maximum O minimum O neither maximum nor minimum O increasing