Question

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

Answer 1

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

Explanation:

`(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))`