y=tan((1)/(4)+(x)/(2))," show that "(dy)/(dx)-sec x=a

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 logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)) , then show that (dy)/(dx)=(y-x)/(y+x) .

(dy)/(dx)+y sec x=tan x

If log (x^(2)+y^(2))=tan^(-1)((y)/(x)), then show that (dy)/(dx)=(x+y)/(x-y)

Find (dy)/(dx) , when If y = sqrt((sec x - tanx)/(sec x + tanx)) , show that (dy)/(dx) = sec x (tanx - sec x) .

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={(1-tan x)/(1+tan x)}, show that (dy)/(dx)=(-2)/(1+sin2x)

If sec^(-1)((x+y)/(x-y))=a^(2) , show that (dy)/(dx)=(y)/(x) .