# How do you find the derivative of #y=(2x^-1-x^-2)/(3x^-1-4x^-2)#?

##### 1 Answer

Note the domain and rewrite, then use the quotient rule.

#### Explanation:

Domain of

Now use algebra to rewrite

# = (2x-1)/(3x-4)#

Now use the quotient rule

# = (-5)/(3x-4)^2#

If we want to make sure the domain is clear, then multiply to write