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

Prove that the function x^2 + x+1 is neither increasing nor decreasing on (-1,0)

Prove that the function f(x)=cos x is neither increasing nor decreasing in (0,2 pi)

Show that the function x^2 - x+1 is neither increasing nor decreasing on (0,1).

Show that the function x^(2)-x+1 is neither increasing nor decreasing on (0,1).

Prove that the function f(x)=cosx is neither increasing nor decreasing in (0,\ 2pi)

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

Show that the function x^2-x+1 is neither increasing nor decreasing on (0,\ 1) .

Prove that the function f(x)=x^(3)-x^(2) is neither increasing nor decreasing in -2/3 lt x lt 2/3 .

Prove that the function / defined by f(x) = x^(2) -x+1 is neither increasing nor decreasing in (-1, 1). Hence, find the intervals in which f(x) is: (i) strictly increasing , (ii) strictly decreasing.

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