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

The interval on which the function f(x)=2x^(2)-3x is increasing or decreasing in :

Determine the intervals in which the function f(x)=(x-1)(x+1)^(2) is increasing or decreasing. Find also the points at which the tangents to the curve are parallel to x - axis.

Prove that the function f(x)=x^(2)-x+1 is neither increasing nor decreasing on (-1,1)

A continuous and differentiable function f(x) is increasing in (-oo,3/2) and decreasing in (3/2,oo) then x=3/2 is

For which values of x, the function f(x)=(x)/(x^(2)+1) is increasing and for which value of x, it is decreasing.

For which values of x, the function f(x)=(x)/(x^(2)+1) is increasing and for which values of x, it is decreasing.

Which of the following statement is always true? (a)If f(x) is increasing, the f^(-1)(x) is decreasing. (b)If f(x) is increasing, then 1/(f(x)) is also increasing. (c)If fa n dg are positive functions and f is increasing and g is decreasing, then f/g is a decreasing function. (d)If fa n dg are positive functions and f is decreasing and g is increasing, the f/g is a decreasing function.

If the function f(x) = x^(2) + 2x -5 is increasing function then x lt -1 .

The function f(x)=(x)/(x^(2)-1) increasing, if