log tan((pi)/(4)+(x)/(2))

Differentiate the following functions with respect to x.x^((2)/(3))+7e-(5)/(x)+7tan x (ii) x^(2)*ln x*e^(x)ln tan((pi)/(4)+(x)/(2))( iv )(sin x-x cos x)/(x sin x+cos x)tan(tan^(-1)sqrt((1-cos x)/(1+cos x))),0

If y= log_e tan ((pi)/(4)+(x)/(2)) then tan h (y)/(2)=

If x is an acute angle and y=log_(e)[tan((pi)/(4)+(x)/(2))] then cosh x*cosh y

If x=log_(e)[tan((pi)/(4)+(theta)/(2))] then cos hx=

If x=log_(e)[tan((pi)/(4)+(theta)/(2))] then cos hx=

int(dx)/(cos x+sqrt(3)sin x) equals: (1)(1)/(2)log tan((x)/(2)+(pi)/(12))+c(1)/(2)log tan((x)/(2)-(pi)/(12))+c log tan ((x)/(2)+(pi)/(12))+cquad log tan((x)/(2)-(pi)/(12))+c

Which of the following is/are correct? (tan x)^(In(cos x))<(cot x)^(ln(cos x))AA x in((pi)/(4),(pi)/(2))

int(1)/(cos x+sqrt(3)sin x)dx equals ( i )log(tan((x)/(2)+(pi)/(12)))+c( (ii) log(tan((x)/(2)-(pi)/(12)))+c( iii) (1)/(2)*log(tan((x)/(2)+(pi)/(12)))+c( iv )(1)/(2)*log(tan((x)/(2)-(pi)/(12)))+c

(tan ((pi)/(4) +4))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x )) ^(2)