log((sqrt(x^(2)+a^(2))+x)/(sqrt(x^(2)+a^(2)-x)))

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Differentiate the following w.r.t. x : log((x+sqrt(x^(2)-a^(2)))/(x-sqrt(x^(2)-a^(2))))

y=log[(x+sqrt(x^(2)+a^(2)))/(sqrt(x^(2)+a^(2))-x)]

If y=log((x+sqrt(x^(2)+a^(2)))/(-x+sqrt(x^(2)+a^(2))))"then "dy/dx=

int(1)/(sqrt(x^(2)-a^(2)))=log(x+sqrt(x^(2)-a^(2)))

log(x+sqrt(x^(2)+a))

int(1)/(sqrt(x^(2)-a^(2)))=log(x+sqrt(x^(2)-a^(2))+c

int sqrt(x^(2)-a^(2))=(1)/(2)x sqrt(x^(2)-a^(2))-(1)/(2)a^(2)log(x+sqrt(x^(2)-a^(2))+c

If y = log ((sqrt(1 + x^(2)) + x)/(sqrt(1 + x^(2)) -x)) " then " (dy)/(dx) = ?

Differentiate log((x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1)))