What is the derivative of $log_5sqrt(x^2-1)$ ?

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Answer 1 · 2016-08-08T07:39:03

$x/((ln 5)(x^2-1))$

$(log_5sqrt(x^2-1))'$

$=(1/2)log_5(x^2-1))'$

$=(1/2)((ln(x^2-1)')/ln 5)$

$=(1/(2 ln 5))((2x)/(x^2-1))$

$=x/((ln 5)(x^2-1))$

What is the derivative of log_5sqrt(x^2-1)log_5sqrt(x^2-1)?