" If "y=log tan((pi)/(4)+(x)/(2))," prove that "(dy)/(dx)-sec x=0

If y=log tan((pi)/(4)+(x)/(2)), show that (dy)/(dx)=sec x. Also find the value of (d^(2)y)/(dx^(2)) at x=(pi)/(4)

If y=log sqrt((1-tan x)/(1+tan x)), prove that (dy)/(dx)=sec2x

If y=log sqrt((1+tan x)/(1-tan x)), Prove that (dy)/(dx)=sec2x

if y=tan^(2)((pi x^(2))/(2)), prove that (dy)/(dx)=2 pi x tan((pi x^(2))/(2))sec^(2)((pi x^(2))/(2))

If y=tan^(-1)((a)/(x))+log sqrt((x-a)/(x+a)), Prove that (dy)/(dx)=(2a^(3))/(x^(4)-a^(4))

If y = log tan (pi/4+x/2) , show that: dy/dx-secx=0

If y= y=sqrt((1-sin 2x )/(1+sin 2 x)) prove that (dy)/(dx)+sec^2(pi/4-x)=0.

If y= y=sqrt((1-sin 2x )/(1+sin 2 x)) prove that (dy)/(dx)+sec^2(pi/4-x)=0.

If y = log ( sqrt( sin x - cos x)) , that prove that (dy)/(dx) = - (1)/(2) tan ((pi)/( 4) + x)