If `f9x)=(log)_e((x^2+e)/(x^2+1))` , then the range of `f(x)i s` (0,1) (b) (0,1) (0,1) (d) (0,1)

If f(x)=(log)_(e)((x^(2)+e)/(x^(2)+1)), then the range of f(x)

Let f be a real valued function defined by f(x)=(e^(x)-e^(-|x|))/(e^(x)+e^(|x|)), then the range of f(x) is: (a)R(b)[0,1](c)[0,1)(d)[0,(1)/(2))

If f(x)=(log)_(x^(2))(log x), then f'(x) at x=e is (a) 0(b)1(c)1/e (d) 1/2e

If f(x)=log_(x^(2))(log x),quad then f'(x) at x=e is 0( b) 1 (c) (1)/(e) (d) (1)/(2)e

The domain of f(x)=log|log x|is(0,oo)(b)(1,oo)(c)(0,1)uu(1,oo)(d)(-oo,1)

if f(x)=e^(-(1)/(x^(2))),x!=0 and f(0)=0 then f'(0) is

The domain of f(x) is (0,1). Then the domain of (f(e^(x))+f(1n|x|) is (-1,e) (b) (1,e)(-e,-1)(d)(-e,1)

The function f(x)=x^(x) decreases on the interval (a) (0,e)(b)(0,1)(c)(0,1/e)(d)(1/e,e)

If f'(x)=f(x)+int_(0)^(1)f(x)dx, given f(0)=1 then the value of f((log)_(2)2) is (a) (1)/(3+e)(b)(5-e)/(3-e)(c)(2+e)/(e-2) (d) none of these

If f(x)=(e^(2x)-(1+4x)^(1/2))/(ln(1-x^(2))) for x!=0, then f has