[" Prove that the function "f" given by "f(x)=x^(2)-x+x+1],[" nor strictly decreasing on "(-1,1)]

Prove that the function f given by f (x) = log (cos x) is strictly decreasing on (0,pi/2)

Let I be any interval disjoint from (1, 1) . Prove that the function f given by f(x)=x+1/x is strictly increasing on 1.

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

Find the least value of a such that the function f given by f(x)=x^(2)+ax+1 is strictly increasing on (1,2)

Prove that the function f given by f(x)=log cos x is strictly decreasing on (0, (pi)/(2)) .

Let I be any interval disjoint from (-1,1) Prove that the function f given by f(x)=x+(1/x) is strictly increasing on I .

Let I be any interval disjoint from [-1,1] . Prove that the function f given by f(x)=x+1/x is strictly increasing on I.

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

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

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