`F(x)=|x|log_(e)x`|monotonically decreases in

f(x)=|x log_e x| monotonically decreases in (0,1/e) (b) (1/e ,1) (1,oo) (d) (1/e ,oo)

f(x)=x|log_ex|,x gt 0 is monotonically decreasig in

the function (|x-1|)/x^2 is monotonically decreasing at the point

If a lt 0 and f(x)=e^(ax )+ e^(-ax) is monotonically decreasing . Find the interval to which x belongs.

Let f(x) =e^(2x) -ae^(x)+1. Prove that f(x) cannot be monotonically decreasing for AA x in R for any value of a

If g(x) is monotonically increasing and f(x) is monotonically decreasing for x R and if (gof) (x) is defined for x e R, then prove that (gof)(x) will be monotonically decreasing function. Hence prove that (gof) (x +1)leq (gof) (x-1).

If g(x) is monotonically increasing and f(x) is monotonically decreasing for x in R and if (gof) (x) is defined for x in R , then prove that (gof)(x) will be monotonically decreasing function. Hence prove that (gof) (x +1)leq (gof) (x-1).

If f(x)=|log_(e) x|,then

The least integral value of x where f(x)=(log)_(1/2)(x^2-2x-3) is monotonically decreasing is________

In the interval (1,\ 2) , function f(x)=2|x-1|+3|x-2| is (a) monotonically increasing (b) monotonically decreasing (c) not monotonic (d) constant