logarithm derivative (1 Viewer)

[steve001]

hey,

does anybody know how to do this question:

Show that the derivative of y = ln(x-3) - ln(x+3) is given by 6 over x^ - 9

Thanks in advance

 

[GUSSSSSSSSSSSSS]

derivative of ln(x-3) = 1/(x-3)
derivative of ln(x+3)=1/(x+3)

just simplify, common denominator etc

1/(x-3) - 1/(x+3)
=(x+3 - (x-3))/(x-3)(x+3)
=6/(x^2-9)

XDD

 

[steve001]

hey thanks man, didnt even think of it that why