The domain of the function `f(x)=x/(sqrt(sin(lnx)-cos(lnx))),(n in Z)` is (a)`(e^(2npi),e^((3n+1/2)pi))` (b) `(e^((2n+1/4)pi),e^((2n+5/4)pi))` `(e^((2n+1/4)pi),e^((2n-3/4)pi))` (d) none of these

The domain of the function f(x)=sqrt(log((1)/(|sin x|))(a)R-{-pi,pi}(b))R-{n pi|n pi Z}(c)R-{2n pi|n in z}(d)(-oo,oo)

What is the derivative of the function f(x)=e^(tanx)+ln(secx)-e^(lnx)" at "x=(pi)/(4)?

What is the derivative of the function f(x) = e^(tanx)+ln(secx)-e^(lnx)at x=(pi)/(4) ?

The period of f(x)=sin((pi x)/(n-1))+cos((pi x)/(n)),n in Z,n>2

Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2npi+(3pi)/4)] (b)M.D. In [e^(2npi+(3pi)/4),e^(2npi+(7pi)/4)] (c)M.D. in [e^(2npi(5pi)/4),e^(2npipi/4)] (d)M.I. in [e^(2npi+(3pi)/4),e^(2npi+(7pi)/4)]

The domain of the function f given by f(x)=sqrt(log_(0.3)((e^(x)-1)/(e^(x)-tan x))) contains (A) (0,(pi)/(4)](B)[(pi)/(4),(pi)/(2))(C)[-(3 pi)/(4),-(pi)/(2)) (D) ((pi)/(2),(5 pi)/(4)]

The period of the function f(x)=e^(x-[x]+|cos pi x|+|cos2 pi x|+...|cos n pi x|) is

The domain of the function f(x)=(1)/(sqrt({sin x}+{sin(pi+x)})) where {.} denotes the fractional part,is (a) [0,pi](b)(2n+1)(pi)/(2),n in Z(c)(0,pi)(d) none of these

The solution of the equation sin^(3)x+sin x cos x+cos^(3)x=1 is (n in N)2n pi(b)(4n+1)(pi)/(2)(2n+1)pi(d) None of these

The value of (lim)_(x rarr1)(2-x)^(tan((pi x)/(2))) is e^(-(2)/(pi)) (b) e^((1)/(pi))(c)e^((2)/(pi))(d)e^(-(1)/(pi))