" 7."tan((1-cos x)/(1+cos x)),0

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 x epsilon(7pi,8pi) , then "tan"^(-1)sqrt((1-"cos" x)/(1+"cos" x))=

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

show that, tan^(-1) ((1)/(sqrt(3)) tan ""(x)/(2))=(1)/(2) cos^(-1) ""((1+2 cos x)/(2+ cos x)).

Find the derivative with tan^(-1) ((sinx )/(1 + cos x)) with respect to tan^(-1) ((cos x)/(1 + sin x))

lim_(x rarr 0) (1-cos 7x)/(1- cos 9x) =

underset(x to 0)"Lt" ((1-cos 2x)(3+cos x))/(x tan 4x )) is equal to

(v) tan^(-1)sqrt((1+cos x)/(1-cos x))

Differentiate the following w.r.t. x : tan^-1((cos 7x)/(1+sin 7x))