`y=log[sqrt(x-a)+sqrt(x-b)]`

log(sqrt(x)+1/sqrt(x))

If y=log{sqrt(x-1)-sqrt(x+1)}, show that (dy)/(dx)=(-1)/(2sqrt(x^2-1))

If y=log{sqrt(x-1)-sqrt(x+1)} , show that (dy)/(dx)=(-1)/(2sqrt(x^2-1))

Domain of the function f(x) = log(sqrt(x-4)+sqrt(6-x))

If y=log(sqrt(x)+sqrt(1/x)), prove that (dy)/(dx)=(x-1)/(2x(x+1))

y=log((sqrt(x+1)+1]/(sqrt(x+1)-1))

Y=log(4/(sqrt(x+2)+sqrt(2-x)))

int_(1)^(7)(log sqrt(x))/(log sqrt(8-x)+log sqrt(x))dx=

IF (log)_6{(log)_2[sqrt(4x+2)]+2sqrt(x)}=0, then x= __________.

if y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sqrt(a-x)+sqrt(x-b)) then dy/dx wherever it is defined is equal to :