f(x)=(x)/(a)+(a)/(x)(a>0)" is decreasing in "

f(x) =x/a+a/x(agt 0) is decreasing in

f(x)=xe^(-x) is decreasing in

f(x)=x*e^(-x) is decreasing in

f(x)=(log x)/(x) ,x>0 is decreasing if x> lambda then value of lambda is

Find the intervals in which f(x)=(x)/(2)+(2)/(x),x!=0 is increasing or decreasing.

Find the intervals in which f(x)=(x)/(2)+(2)/(x),x!=0 is increasing or decreasing.

Show that f(x)=e^((1)/(x)),x!=0 is decreasing function for all x!=0

Observe the following lists {:("List -I","List -II"),((A)f(x)=x+(1)/(x)" is decreasing in",(1)R),((B)f(x)=1-x^(3) "is decreasing",(2)(0,(1)/(e))),((C)f(x)=xe^(-x)" is decreasing in",(3)(-1,0)uu(0,1)),((D)f(x)=x^(x)" is decreasing in ",(4)(1,oo)),(,(5)(0,oo)):}

Find the interval in which f(x)=x sqrt(4ax-x^(2)),(a<0) is decreasing

Find the intervals in which the function f given by f(x)=x^(3)+1/x^(3) (x ne 0) is decreasing