Find the period (if periodic) of the following function `f(x)=e^(log(sinx))+tan^3x-cos e c(3x-5)`

Find the derivative of the following function f(x) = x-3 sinx

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=(|sinx+cosx|)/(|sinx|+|cosx|)

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=x-[x-b],b in R

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=tanpi/2[x]

Find the period of the following functions (i) f(x)=|sin 3x| (ii) f(x)=2"cosec"(5x-6)+7 (iii) f(x) =x-[x-2.6], where [.] represents the greatest integer function.

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

For the function f(x)=x^4(12(log)_e x-7)

Find intervals of concavity and points of inflexion for the following functions: f(x)=1/2(e^(x)-e^(-x))

Find the intervals of monotonicities and hence find the local extremum for the following functions: f(x)=e^(x)/(1-e^(x))

Find the interval of the monotonicity of the function f(x)= log_(e)((log_(e)x)/(x))