Let f: `(0, oo)` ->R be given by f(x) e hen
(a) f(x) is monotonically increasing on `[1, oo)`
(b) f(x) is monotonically decreasing on (0,1).

Let f:(0,oo)vecR be given by f(x)=int_(1/x)^x(e^(-(t+1/t))dt)/t , then (a) f(x) is monotonically increasing on [1,oo) (b) f(x) is monotonically decreasing on (0,1) (c) f(2^x) is an odd function of x on R (d) none of these.

Let f:(0,oo)vec R be given by f(x)=int_((1)/(x))^(x)(e^(-(t+(1)/(t)))dt)/(t), then (a)f(x) is monotonically increasing on [1,oo)(b)f(x) is monotonically decreasing on (1,oo)(b)f(x) is an odd function of x on R

f(x)=x+(1)/(x),x!=0 is monotonic increasing when

Let f:(0,oo)rarr RR be given by f(x)=int_(1//x)^x e^-(t+1/t) dt/t. Then (i) f(x) is monotonically increases in (1,infty) (ii)f(x) is monotonically decreases in (0.1) (iii) f(x) +f(1/x)= 0 far all x in (0,infty) (iv) f(2^x) is an odd function of x on R

f(x)=|xlog_(e )x| monotonically decreases in

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

Let f(x)=|x^(2)-3x-4|,-1<=x<=4 Then f(x) is monotonically increasing in [-1,(3)/(2)]f(x) monotonically decreasing in ((3)/(2),4) the maximum value of f(x) is (25)/(4) the minimum value of f(x) is 0

Let f(x) = tan^-1 (g(x)) , where g (x) is monotonically increasing for 0 < x < pi/2.