`f(x)=x^(2)` is strictly deceasing in interval

For the function f(x) = x cosx 1/x, x ge 1(A) for at least one x in the interval [1, c), f(x +2)-fx) 2 (B) lim f(x)= 1 (C) for all x in the interval [1, co), f(x +2)-f(x)> 2 (D) f (x) is strictly decreasing in the interval [1, co) lim fix )=

The function f(x)=4x^(3)-6x^(2)-72x+30 is strictly decreasing on interval.

Show that the function f(x)= x^(2) is strictly increasing function in the interval ]0,infty[ .

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)

Prove that funciton given by (i) f(x)=x^(2) is (a) Strictly increasing in x in (0,oo) (b) Strictly decreasing in x in (-oo,0) (ii) f(x)=tan x is strictly increasing in x in (npi-(pi)/(2),n pi+(pi)/(2)) , where n in I .

The function f(x)= x^2+2x+5 is strictly increasing in the interval

f(x) = cos x is strictly increasing in the interval : (a) ((pi)/(2),pi) (b) (pi,(3 pi)/(2)) (c) (0,(pi)/(2))

The interval in which the function f given by f(x) = 7 - 4x + x^(2) is strictly decreasing, is :